76047057792 has 128 divisors (see below), whose sum is σ = 224820403200. Its totient is φ = 25306560000.

The previous prime is 76047057769. The next prime is 76047057799. The reversal of 76047057792 is 29775074067.

76047057792 is a `hidden beast` number, since 7 + 60 + 4 + 7 + 0 + 577 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76047057799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2079667 + ... + 2115917.

It is an arithmetic number, because the mean of its divisors is an integer number (1756409400).

Almost surely, 2^76047057792 is an apocalyptic number.

76047057792 is a gapful number since it is divisible by the number (72) 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 76047057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112410201600).

76047057792 is an abundant number, since it is smaller than the sum of its proper divisors (148773345408).

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

76047057792 is a wasteful number, since it uses less digits than its factorization.

76047057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36881 (or 36863 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 76047057792 in words is "seventy-six billion, forty-seven million, fifty-seven thousand, seven hundred ninety-two".