77076672 has 56 divisors (see below), whose sum is σ = 207306672. Its totient is φ = 25267200.

The previous prime is 77076667. The next prime is 77076697. The reversal of 77076672 is 27667077.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 8422 + ... + 15002.

Almost surely, 2^77076672 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 77076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103653336).

77076672 is an abundant number, since it is smaller than the sum of its proper divisors (130230000).

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

77076672 is a wasteful number, since it uses less digits than its factorization.

77076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6657 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 42.

The square root of 77076672 is about 8779.3320930467. The cubic root of 77076672 is about 425.5732462878.

The spelling of 77076672 in words is "seventy-seven million, seventy-six thousand, six hundred seventy-two".