77372928 has 160 divisors (see below), whose sum is σ = 238154400. Its totient is φ = 24772608.

The previous prime is 77372927. The next prime is 77372941. The reversal of 77372928 is 82927377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77372927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400800 + ... + 400992.

It is an arithmetic number, because the mean of its divisors is an integer number (1488465).

Almost surely, 2^77372928 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 77372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119077200).

77372928 is an abundant number, since it is smaller than the sum of its proper divisors (160781472).

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

77372928 is a wasteful number, since it uses less digits than its factorization.

77372928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 77372928 is about 8796.1882653795. The cubic root of 77372928 is about 426.1178011847.

The spelling of 77372928 in words is "seventy-seven million, three hundred seventy-two thousand, nine hundred twenty-eight".