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80772076 = 22711299043
BaseRepresentation
bin1001101000001…
…11101111101100
312121222122110101
410310013233230
5131134201301
612003120444
72000360050
oct464075754
9177878411
1080772076
1141659290
1223073124
1313970938
14aa27c60
157157701
hex4d07bec

80772076 has 48 divisors (see below), whose sum is σ = 182327040. Its totient is φ = 30381120.

The previous prime is 80772071. The next prime is 80772079. The reversal of 80772076 is 67027708.

It is a super-2 number, since 2×807720762 = 13048256522699552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80772071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4411 + ... + 13453.

It is an arithmetic number, because the mean of its divisors is an integer number (3798480).

Almost surely, 280772076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80772076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91163520).

80772076 is an abundant number, since it is smaller than the sum of its proper divisors (101554964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80772076 is a wasteful number, since it uses less digits than its factorization.

80772076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 80772076 is about 8987.3286353621. The cubic root of 80772076 is about 432.2686586195.

It can be divided in two parts, 8077 and 2076, that added together give a triangular number (10153 = T142).

The spelling of 80772076 in words is "eighty million, seven hundred seventy-two thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 29 44 58 77 116 154 203 308 319 406 638 812 1276 2233 4466 8932 9043 18086 36172 63301 99473 126602 198946 253204 262247 397892 524494 696311 1048988 1392622 1835729 2785244 2884717 3671458 5769434 7342916 11538868 20193019 40386038 80772076