77985376 has 24 divisors (see below), whose sum is σ = 175467600. Its totient is φ = 33422208.

The previous prime is 77985373. The next prime is 77985407. The reversal of 77985376 is 67358977.

It is a happy number.

It is a super-2 number, since 2×77985376² = 12163437739722752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77985371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173851 + ... + 174298.

It is an arithmetic number, because the mean of its divisors is an integer number (7311150).

Almost surely, 2^77985376 is an apocalyptic number.

It is an amenable number.

77985376 is an abundant number, since it is smaller than the sum of its proper divisors (97482224).

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

77985376 is a wasteful number, since it uses less digits than its factorization.

77985376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348166 (or 348158 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 52.

The square root of 77985376 is about 8830.9329065507. The cubic root of 77985376 is about 427.2391642100.

It can be divided in two parts, 779853 and 76, that multiplied together give a triangular number (59268828 = T₁₀₈₈₇).

The spelling of 77985376 in words is "seventy-seven million, nine hundred eighty-five thousand, three hundred seventy-six".