76945359696300 has 720 divisors, whose sum is σ = 259165412352000. Its totient is φ = 19726730150400.

The previous prime is 76945359696193. The next prime is 76945359696311. The reversal of 76945359696300 is 369695354967.

76945359696300 is a `hidden beast` number, since 7 + 6 + 9 + 453 + 59 + 6 + 96 + 30 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30186487426 + ... + 30186489974.

It is an arithmetic number, because the mean of its divisors is an integer number (359951961600).

Almost surely, 2^{76945359696300} 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 76945359696300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129582706176000).

76945359696300 is an abundant number, since it is smaller than the sum of its proper divisors (182220052655700).

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

76945359696300 is a wasteful number, since it uses less digits than its factorization.

76945359696300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 992023200, while the sum is 72.

The spelling of 76945359696300 in words is "seventy-six trillion, nine hundred forty-five billion, three hundred fifty-nine million, six hundred ninety-six thousand, three hundred".