76920969600 has 576 divisors, whose sum is σ = 293911188480. Its totient is φ = 19844352000.

The previous prime is 76920969571. The next prime is 76920969647. The reversal of 76920969600 is 696902967.

It is a happy number.

76920969600 is a `hidden beast` number, since 7 + 6 + 9 + 20 + 9 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24104005 + ... + 24107195.

It is an arithmetic number, because the mean of its divisors is an integer number (510262480).

Almost surely, 2^76920969600 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 76920969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146955594240).

76920969600 is an abundant number, since it is smaller than the sum of its proper divisors (216990218880).

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

76920969600 is a wasteful number, since it uses less digits than its factorization.

76920969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 76920969600 in words is "seventy-six billion, nine hundred twenty million, nine hundred sixty-nine thousand, six hundred".