76201135920 has 1440 divisors, whose sum is σ = 350655806592. Its totient is φ = 14380498944.

The previous prime is 76201135841. The next prime is 76201135949. The reversal of 76201135920 is 2953110267.

76201135920 is a `hidden beast` number, since 7 + 62 + 0 + 1 + 1 + 3 + 592 + 0 = 666.

It is a super-2 number, since 2×76201135920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1772119419 + ... + 1772119461.

Almost surely, 2^76201135920 is an apocalyptic number.

76201135920 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 76201135920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175327903296).

76201135920 is an abundant number, since it is smaller than the sum of its proper divisors (274454670672).

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

76201135920 is a wasteful number, since it uses less digits than its factorization.

76201135920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 76201135920 in words is "seventy-six billion, two hundred one million, one hundred thirty-five thousand, nine hundred twenty".