80932764 has 96 divisors (see below), whose sum is σ = 215421696. Its totient is φ = 23431680.

The previous prime is 80932763. The next prime is 80932769. The reversal of 80932764 is 46723908.

It is a super-2 number, since 2×80932764² = 13100224577359392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80932763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356419 + ... + 356645.

It is an arithmetic number, because the mean of its divisors is an integer number (2243976).

Almost surely, 2^80932764 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 80932764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107710848).

80932764 is an abundant number, since it is smaller than the sum of its proper divisors (134488932).

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

80932764 is a wasteful number, since it uses less digits than its factorization.

80932764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 80932764 is about 8996.2638911939. The cubic root of 80932764 is about 432.5551205545. Note that the first 3 decimals are identical.

Subtracting from 80932764 its reverse (46723908), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 80932764 in words is "eighty million, nine hundred thirty-two thousand, seven hundred sixty-four".