80872992 has 120 divisors (see below), whose sum is σ = 243966492. Its totient is φ = 26265600.

The previous prime is 80872973. The next prime is 80872993. The reversal of 80872992 is 29927808.

It can be written as a sum of positive squares in 2 ways, for example, as 51322896 + 29550096 = 7164^2 + 5436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80872993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105892 + ... + 106652.

Almost surely, 2^80872992 is an apocalyptic number.

80872992 is a gapful number since it is divisible by the number (82) 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 80872992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121983246).

80872992 is an abundant number, since it is smaller than the sum of its proper divisors (163093500).

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

80872992 is a wasteful number, since it uses less digits than its factorization.

80872992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 80872992 is about 8992.9412318774. The cubic root of 80872992 is about 432.4486080582.

The spelling of 80872992 in words is "eighty million, eight hundred seventy-two thousand, nine hundred ninety-two".