77380864 has 36 divisors (see below), whose sum is σ = 168507360. Its totient is φ = 35171840.

The previous prime is 77380861. The next prime is 77380921. The reversal of 77380864 is 46808377.

It is a super-2 number, since 2×77380864² = 11975596226772992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77380864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77380861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10924 + ... + 16555.

It is an arithmetic number, because the mean of its divisors is an integer number (4680760).

Almost surely, 2^77380864 is an apocalyptic number.

It is an amenable number.

77380864 is an abundant number, since it is smaller than the sum of its proper divisors (91126496).

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

77380864 is a wasteful number, since it uses less digits than its factorization.

77380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27506 (or 27492 counting only the distinct ones).

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

The square root of 77380864 is about 8796.6393583004. The cubic root of 77380864 is about 426.1323693950.

The spelling of 77380864 in words is "seventy-seven million, three hundred eighty thousand, eight hundred sixty-four".