77166672 has 80 divisors (see below), whose sum is σ = 230288832. Its totient is φ = 22005760.

The previous prime is 77166667. The next prime is 77166731. The reversal of 77166672 is 27666177.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4678 + ... + 13274.

Almost surely, 2^77166672 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 77166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115144416).

77166672 is an abundant number, since it is smaller than the sum of its proper divisors (153122160).

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

77166672 is a wasteful number, since it uses less digits than its factorization.

77166672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8630 counting only the distinct ones).

The product of its digits is 148176, while the sum is 42.

The square root of 77166672 is about 8784.4562723028. The cubic root of 77166672 is about 425.7388246787.

The spelling of 77166672 in words is "seventy-seven million, one hundred sixty-six thousand, six hundred seventy-two".