76121012628 has 72 divisors (see below), whose sum is σ = 199682071680. Its totient is φ = 25356058560.

The previous prime is 76121012483. The next prime is 76121012629. The reversal of 76121012628 is 82621012167.

76121012628 is a `hidden beast` number, since 7 + 6 + 1 + 2 + 10 + 12 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76121012592 and 76121012601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76121012629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413093 + ... + 1465971.

Almost surely, 2^76121012628 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 76121012628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99841035840).

76121012628 is an abundant number, since it is smaller than the sum of its proper divisors (123561059052).

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

76121012628 is a wasteful number, since it uses less digits than its factorization.

76121012628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54379 (or 54365 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 76121012628 in words is "seventy-six billion, one hundred twenty-one million, twelve thousand, six hundred twenty-eight".