77939292960 has 192 divisors, whose sum is σ = 272959061760. Its totient is φ = 20770744320.

The previous prime is 77939292923. The next prime is 77939292961. The reversal of 77939292960 is 6929293977.

77939292960 is a `hidden beast` number, since 7 + 79 + 392 + 92 + 96 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (77939292961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8259445 + ... + 8268875.

It is an arithmetic number, because the mean of its divisors is an integer number (1421661780).

Almost surely, 2^77939292960 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 77939292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136479530880).

77939292960 is an abundant number, since it is smaller than the sum of its proper divisors (195019768800).

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

77939292960 is a wasteful number, since it uses less digits than its factorization.

77939292960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 77939292960 in words is "seventy-seven billion, nine hundred thirty-nine million, two hundred ninety-two thousand, nine hundred sixty".