76687120224 has 768 divisors, whose sum is σ = 288054144000. Its totient is φ = 19477463040.

The previous prime is 76687120219. The next prime is 76687120229. The reversal of 76687120224 is 42202178667.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76687120219) and next prime (76687120229).

It is a self number, because there is not a number n which added to its sum of digits gives 76687120224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76687120229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60910507 + ... + 60911765.

It is an arithmetic number, because the mean of its divisors is an integer number (375070500).

Almost surely, 2^76687120224 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 76687120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144027072000).

76687120224 is an abundant number, since it is smaller than the sum of its proper divisors (211367023776).

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

76687120224 is a wasteful number, since it uses less digits than its factorization.

76687120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 76687120224 in words is "seventy-six billion, six hundred eighty-seven million, one hundred twenty thousand, two hundred twenty-four".