76121000820 has 72 divisors (see below), whose sum is σ = 230926570056. Its totient is φ = 20296630272.

The previous prime is 76121000777. The next prime is 76121000831. The reversal of 76121000820 is 2800012167.

It can be written as a sum of positive squares in 4 ways, for example, as 6750922896 + 69370077924 = 82164^2 + 263382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2075764 + ... + 2112116.

It is an arithmetic number, because the mean of its divisors is an integer number (3207313473).

Almost surely, 2^76121000820 is an apocalyptic number.

76121000820 is the 174495-th heptagonal number.

It is an amenable number.

76121000820 is an abundant number, since it is smaller than the sum of its proper divisors (154805569236).

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

76121000820 is a wasteful number, since it uses less digits than its factorization.

76121000820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48001 (or 47996 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 76121000820 its reverse (2800012167), we get a palindrome (78921012987).

The spelling of 76121000820 in words is "seventy-six billion, one hundred twenty-one million, eight hundred twenty", and thus it is an aban number.