77883904 has 80 divisors (see below), whose sum is σ = 183845376. Its totient is φ = 32256000.

The previous prime is 77883899. The next prime is 77883917. The reversal of 77883904 is 40938877.

It is a congruent number.

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, 110754 + ... + 111454.

Almost surely, 2^77883904 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 77883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91922688).

77883904 is an abundant number, since it is smaller than the sum of its proper divisors (105961472).

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

77883904 is an equidigital number, since it uses as much as digits as its factorization.

77883904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 77883904 is about 8825.1857770814. The cubic root of 77883904 is about 427.0537806104.

It can be divided in two parts, 77883 and 904, that added together give a palindrome (78787).

The spelling of 77883904 in words is "seventy-seven million, eight hundred eighty-three thousand, nine hundred four".