77083864 has 64 divisors (see below), whose sum is σ = 173859840. Its totient is φ = 31570560.

The previous prime is 77083847. The next prime is 77083891. The reversal of 77083864 is 46838077.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 77083864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48409 + ... + 49975.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 2^77083864 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 77083864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86929920).

77083864 is an abundant number, since it is smaller than the sum of its proper divisors (96775976).

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

77083864 is a wasteful number, since it uses less digits than its factorization.

77083864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 77083864 is about 8779.7416818492. The cubic root of 77083864 is about 425.5864825780.

The spelling of 77083864 in words is "seventy-seven million, eighty-three thousand, eight hundred sixty-four".