80938872 has 128 divisors (see below), whose sum is σ = 259200000. Its totient is φ = 22923648.

The previous prime is 80938859. The next prime is 80938873. The reversal of 80938872 is 27883908.

It is a super-2 number, since 2×80938872² = 13102202001264768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80938873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300754 + ... + 301022.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^80938872 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 80938872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

80938872 is an abundant number, since it is smaller than the sum of its proper divisors (178261128).

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

80938872 is a wasteful number, since it uses less digits than its factorization.

80938872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 80938872 is about 8996.6033590461. The cubic root of 80938872 is about 432.5660019334.

It can be divided in two parts, 80938 and 872, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 80938872 in words is "eighty million, nine hundred thirty-eight thousand, eight hundred seventy-two".