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77120 = 265241
BaseRepresentation
bin10010110101000000
310220210022
4102311000
54431440
61353012
7440561
oct226500
9126708
1077120
1152a3a
1238768
1329144
1420168
1517cb5
hex12d40

77120 has 28 divisors (see below), whose sum is σ = 184404. Its totient is φ = 30720.

The previous prime is 77101. The next prime is 77137. The reversal of 77120 is 2177.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 33856 = 208^2 + 184^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 77120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 440.

277120 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 77120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92202).

77120 is an abundant number, since it is smaller than the sum of its proper divisors (107284).

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

77120 is a wasteful number, since it uses less digits than its factorization.

77120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 77120 is about 277.7048793234. The cubic root of 77120 is about 42.5652975485.

Adding to 77120 its reverse (2177), we get a palindrome (79297).

The spelling of 77120 in words is "seventy-seven thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 241 320 482 964 1205 1928 2410 3856 4820 7712 9640 15424 19280 38560 77120