77980800 has 96 divisors (see below), whose sum is σ = 256880880. Its totient is φ = 20792320.

The previous prime is 77980781. The next prime is 77980823. The reversal of 77980800 is 808977.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5539 + ... + 13661.

Almost surely, 2^77980800 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 77980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128440440).

77980800 is an abundant number, since it is smaller than the sum of its proper divisors (178900080).

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

77980800 is a wasteful number, since it uses less digits than its factorization.

77980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 77980800 is about 8830.6738134754. The cubic root of 77980800 is about 427.2308075806.

The spelling of 77980800 in words is "seventy-seven million, nine hundred eighty thousand, eight hundred".