76545704970 has 256 divisors, whose sum is σ = 238248345600. Its totient is φ = 17126277120.

The previous prime is 76545704951. The next prime is 76545704971. The reversal of 76545704970 is 7940754567.

76545704970 is a `hidden beast` number, since 7 + 6 + 545 + 7 + 0 + 4 + 97 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (76545704971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28656735 + ... + 28659405.

It is an arithmetic number, because the mean of its divisors is an integer number (930657600).

Almost surely, 2^76545704970 is an apocalyptic number.

76545704970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76545704970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119124172800).

76545704970 is an abundant number, since it is smaller than the sum of its proper divisors (161702640630).

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

76545704970 is a wasteful number, since it uses less digits than its factorization.

76545704970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 76545704970 in words is "seventy-six billion, five hundred forty-five million, seven hundred four thousand, nine hundred seventy".