77566016 has 56 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 35033600.

The previous prime is 77565997. The next prime is 77566033. The reversal of 77566016 is 61066577.

It is a super-2 number, since 2×77566016² = 12032973676224512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168026 + ... + 168486.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2^77566016 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 77566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

77566016 is an abundant number, since it is smaller than the sum of its proper divisors (91415104).

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

77566016 is a wasteful number, since it uses less digits than its factorization.

77566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 77566016 is about 8807.1570895494. The cubic root of 77566016 is about 426.4719728040.

The spelling of 77566016 in words is "seventy-seven million, five hundred sixty-six thousand, sixteen".