76294038240 has 768 divisors, whose sum is σ = 312744499200. Its totient is φ = 17012588544.

The previous prime is 76294038211. The next prime is 76294038259. The reversal of 76294038240 is 4283049267.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 283620826 + ... + 283621094.

It is an arithmetic number, because the mean of its divisors is an integer number (407219400).

Almost surely, 2^76294038240 is an apocalyptic number.

76294038240 is a gapful number since it is divisible by the number (70) 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 76294038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156372249600).

76294038240 is an abundant number, since it is smaller than the sum of its proper divisors (236450460960).

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

76294038240 is a wasteful number, since it uses less digits than its factorization.

76294038240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 76294038240 in words is "seventy-six billion, two hundred ninety-four million, thirty-eight thousand, two hundred forty".