80077032 has 128 divisors (see below), whose sum is σ = 256435200. Its totient is φ = 22680000.

The previous prime is 80077031. The next prime is 80077037. The reversal of 80077032 is 23077008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80076987 and 80077005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80077031) 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, 318907 + ... + 319157.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 2^80077032 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 80077032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217600).

80077032 is an abundant number, since it is smaller than the sum of its proper divisors (176358168).

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

80077032 is a wasteful number, since it uses less digits than its factorization.

80077032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 80077032 is about 8948.5770935943. The cubic root of 80077032 is about 431.0251939845.

The spelling of 80077032 in words is "eighty million, seventy-seven thousand, thirty-two".