77969120 has 24 divisors (see below), whose sum is σ = 184202424. Its totient is φ = 31187584.

The previous prime is 77969107. The next prime is 77969153. The reversal of 77969120 is 2196977.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 243494 + ... + 243813.

It is an arithmetic number, because the mean of its divisors is an integer number (7675101).

Almost surely, 2^77969120 is an apocalyptic number.

It is an amenable number.

77969120 is an abundant number, since it is smaller than the sum of its proper divisors (106233304).

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

77969120 is a wasteful number, since it uses less digits than its factorization.

77969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487322 (or 487314 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 41.

The square root of 77969120 is about 8830.0124575224. The cubic root of 77969120 is about 427.2094762401.

The spelling of 77969120 in words is "seventy-seven million, nine hundred sixty-nine thousand, one hundred twenty".