76940098560 has 1056 divisors, whose sum is σ = 306436096512. Its totient is φ = 18393661440.

The previous prime is 76940098559. The next prime is 76940098577. The reversal of 76940098560 is 6589004967.

76940098560 is a `hidden beast` number, since 76 + 9 + 4 + 0 + 0 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76940098497 and 76940098506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1083663325 + ... + 1083663395.

Almost surely, 2^76940098560 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 76940098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153218048256).

76940098560 is an abundant number, since it is smaller than the sum of its proper divisors (229495997952).

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

76940098560 is a wasteful number, since it uses less digits than its factorization.

76940098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 76940098560 in words is "seventy-six billion, nine hundred forty million, ninety-eight thousand, five hundred sixty".