77954968 has 48 divisors (see below), whose sum is σ = 180906480. Its totient is φ = 30835584.

The previous prime is 77954959. The next prime is 77954983. The reversal of 77954968 is 86945977.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5346 + ... + 13582.

It is an arithmetic number, because the mean of its divisors is an integer number (3768885).

Almost surely, 2^77954968 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 77954968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90453240).

77954968 is an abundant number, since it is smaller than the sum of its proper divisors (102951512).

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

77954968 is a wasteful number, since it uses less digits than its factorization.

77954968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8259 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The square root of 77954968 is about 8829.2110632831. The cubic root of 77954968 is about 427.1836273984.

The spelling of 77954968 in words is "seventy-seven million, nine hundred fifty-four thousand, nine hundred sixty-eight".