77904128 has 72 divisors (see below), whose sum is σ = 165122496. Its totient is φ = 36608000.

The previous prime is 77904107. The next prime is 77904133. The reversal of 77904128 is 82140977.

It is a junction number, because it is equal to n+sod(n) for n = 77904091 and 77904100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 594623 + ... + 594753.

It is an arithmetic number, because the mean of its divisors is an integer number (2293368).

Almost surely, 2^77904128 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 77904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82561248).

77904128 is an abundant number, since it is smaller than the sum of its proper divisors (87218368).

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

77904128 is a wasteful number, since it uses less digits than its factorization.

77904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 77904128 is about 8826.3315142816. The cubic root of 77904128 is about 427.0907415559.

The spelling of 77904128 in words is "seventy-seven million, nine hundred four thousand, one hundred twenty-eight".