77976008 has 64 divisors (see below), whose sum is σ = 172627200. Its totient is φ = 32619520.

The previous prime is 77976001. The next prime is 77976011. The reversal of 77976008 is 80067977.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a self number, because there is not a number n which added to its sum of digits gives 77976008.

It is not an unprimeable number, because it can be changed into a prime (77976001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69758 + ... + 70866.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 2^77976008 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 77976008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86313600).

77976008 is an abundant number, since it is smaller than the sum of its proper divisors (94651192).

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

77976008 is a wasteful number, since it uses less digits than its factorization.

77976008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 44.

The square root of 77976008 is about 8830.4024823334. The cubic root of 77976008 is about 427.2220561445. Note that the first 3 decimals are identical.

The spelling of 77976008 in words is "seventy-seven million, nine hundred seventy-six thousand, eight".