80932752 has 60 divisors (see below), whose sum is σ = 227429020. Its totient is φ = 26866944.

The previous prime is 80932741. The next prime is 80932763. The reversal of 80932752 is 25723908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80932741) and next prime (80932763).

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 26998416 = 7344^2 + 5196^2 .

It is a super-2 number, since 2×80932752² = 13100220692587008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38874 + ... + 40902.

Almost surely, 2^80932752 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 80932752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113714510).

80932752 is an abundant number, since it is smaller than the sum of its proper divisors (146496268).

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

80932752 is a wasteful number, since it uses less digits than its factorization.

80932752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 80932752 is about 8996.2632242504. The cubic root of 80932752 is about 432.5550991760. Note that the first 3 decimals are identical.

The spelling of 80932752 in words is "eighty million, nine hundred thirty-two thousand, seven hundred fifty-two".