76980879360 has 1088 divisors, whose sum is σ = 344265845760. Its totient is φ = 15854469120.

The previous prime is 76980879299. The next prime is 76980879377. The reversal of 76980879360 is 6397808967.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681246664 + ... + 681246776.

Almost surely, 2^76980879360 is an apocalyptic number.

76980879360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76980879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172132922880).

76980879360 is an abundant number, since it is smaller than the sum of its proper divisors (267284966400).

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

76980879360 is a wasteful number, since it uses less digits than its factorization.

76980879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 76980879360 in words is "seventy-six billion, nine hundred eighty million, eight hundred seventy-nine thousand, three hundred sixty".