77166816 has 48 divisors (see below), whose sum is σ = 203727888. Its totient is φ = 25574400.

The previous prime is 77166799. The next prime is 77166841. The reversal of 77166816 is 61866177.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 15156 + ... + 19596.

It is an arithmetic number, because the mean of its divisors is an integer number (4244331).

Almost surely, 2^77166816 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 77166816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101863944).

77166816 is an abundant number, since it is smaller than the sum of its proper divisors (126561072).

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

77166816 is a wasteful number, since it uses less digits than its factorization.

77166816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4627 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 77166816 is about 8784.4644685945. The cubic root of 77166816 is about 425.7390895009.

The spelling of 77166816 in words is "seventy-seven million, one hundred sixty-six thousand, eight hundred sixteen".