77213968 has 80 divisors (see below), whose sum is σ = 168878080. Its totient is φ = 33965568.

The previous prime is 77213959. The next prime is 77213971. The reversal of 77213968 is 86931277.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607921 + ... + 608047.

It is an arithmetic number, because the mean of its divisors is an integer number (2110976).

Almost surely, 2^77213968 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 77213968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84439040).

77213968 is an abundant number, since it is smaller than the sum of its proper divisors (91664112).

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

77213968 is a wasteful number, since it uses less digits than its factorization.

77213968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 77213968 is about 8787.1478876823. The cubic root of 77213968 is about 425.8257863620.

The spelling of 77213968 in words is "seventy-seven million, two hundred thirteen thousand, nine hundred sixty-eight".