76508920420 has 48 divisors (see below), whose sum is σ = 165159091440. Its totient is φ = 29749745664.

The previous prime is 76508920387. The next prime is 76508920441. The reversal of 76508920420 is 2402980567.

It can be written as a sum of positive squares in 8 ways, for example, as 7962349824 + 68546570596 = 89232^2 + 261814^2 .

It is a super-2 number, since 2×76508920420² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789672 + ... + 881248.

It is an arithmetic number, because the mean of its divisors is an integer number (3440814405).

Almost surely, 2^76508920420 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 76508920420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82579545720).

76508920420 is an abundant number, since it is smaller than the sum of its proper divisors (88650171020).

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

76508920420 is a wasteful number, since it uses less digits than its factorization.

76508920420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92752 (or 92750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 76508920420 in words is "seventy-six billion, five hundred eight million, nine hundred twenty thousand, four hundred twenty".