76470797520 has 960 divisors, whose sum is σ = 304284524544. Its totient is φ = 17714350080.

The previous prime is 76470797413. The next prime is 76470797527. The reversal of 76470797520 is 2579707467.

76470797520 is a `hidden beast` number, since 7 + 6 + 47 + 0 + 79 + 7 + 520 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (76470797527) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336875647 + ... + 336875873.

Almost surely, 2^76470797520 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 76470797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152142262272).

76470797520 is an abundant number, since it is smaller than the sum of its proper divisors (227813727024).

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

76470797520 is a wasteful number, since it uses less digits than its factorization.

76470797520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

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

The spelling of 76470797520 in words is "seventy-six billion, four hundred seventy million, seven hundred ninety-seven thousand, five hundred twenty".