76724017920 has 432 divisors, whose sum is σ = 298946479104. Its totient is φ = 17998848000.

The previous prime is 76724017883. The next prime is 76724017921. The reversal of 76724017920 is 2971042767.

It is a super-2 number, since 2×76724017920² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76724017921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3918555 + ... + 3938085.

Almost surely, 2^76724017920 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 76724017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149473239552).

76724017920 is an abundant number, since it is smaller than the sum of its proper divisors (222222461184).

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

76724017920 is a wasteful number, since it uses less digits than its factorization.

76724017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19600 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 76724017920 in words is "seventy-six billion, seven hundred twenty-four million, seventeen thousand, nine hundred twenty".