77313880 has 64 divisors (see below), whose sum is σ = 199584000. Its totient is φ = 26404224.

The previous prime is 77313857. The next prime is 77313883. The reversal of 77313880 is 8831377.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77313883) 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, 116991 + ... + 117649.

It is an arithmetic number, because the mean of its divisors is an integer number (3118500).

Almost surely, 2^77313880 is an apocalyptic number.

77313880 is a gapful number since it is divisible by the number (70) 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 77313880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99792000).

77313880 is an abundant number, since it is smaller than the sum of its proper divisors (122270120).

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

77313880 is a wasteful number, since it uses less digits than its factorization.

77313880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 77313880 is about 8792.8311709028. The cubic root of 77313880 is about 426.0093747707.

It can be divided in two parts, 7731 and 3880, that added together give a palindrome (11611).

The spelling of 77313880 in words is "seventy-seven million, three hundred thirteen thousand, eight hundred eighty".