76123229760 has 392 divisors, whose sum is σ = 273446565120. Its totient is φ = 20175049728.

The previous prime is 76123229729. The next prime is 76123229779. The reversal of 76123229760 is 6792232167.

76123229760 is a `hidden beast` number, since 7 + 612 + 3 + 2 + 29 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×76123229760² (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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 41756209 + ... + 41758031.

Almost surely, 2^76123229760 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 76123229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136723282560).

76123229760 is an abundant number, since it is smaller than the sum of its proper divisors (197323335360).

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

76123229760 is a wasteful number, since it uses less digits than its factorization.

76123229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 76123229760 in words is "seventy-six billion, one hundred twenty-three million, two hundred twenty-nine thousand, seven hundred sixty".