76388868000 has 288 divisors, whose sum is σ = 278436085200. Its totient is φ = 19819468800.

The previous prime is 76388867969. The next prime is 76388868007. The reversal of 76388868000 is 86888367.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14489418384 + 61899449616 = 120372^2 + 248796^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (76388868007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303326 + ... + 1360674.

Almost surely, 2^76388868000 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 76388868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139218042600).

76388868000 is an abundant number, since it is smaller than the sum of its proper divisors (202047217200).

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

76388868000 is a wasteful number, since it uses less digits than its factorization.

76388868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57417 (or 57396 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 76388868000 in words is "seventy-six billion, three hundred eighty-eight million, eight hundred sixty-eight thousand".