80771964 has 192 divisors, whose sum is σ = 259660800. Its totient is φ = 18911232.

The previous prime is 80771963. The next prime is 80772011. The reversal of 80771964 is 46917708.

It is a super-2 number, since 2×80771964² = 13048220336834592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80771963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 352602 + ... + 352830.

It is an arithmetic number, because the mean of its divisors is an integer number (1352400).

Almost surely, 2^80771964 is an apocalyptic number.

80771964 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80771964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129830400).

80771964 is an abundant number, since it is smaller than the sum of its proper divisors (178888836).

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

80771964 is a wasteful number, since it uses less digits than its factorization.

80771964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 80771964 is about 8987.3224043649. The cubic root of 80771964 is about 432.2684588223.

It can be divided in two parts, 807 and 71964, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 80771964 in words is "eighty million, seven hundred seventy-one thousand, nine hundred sixty-four".