76207663104 has 288 divisors, whose sum is σ = 217962239040. Its totient is φ = 23672651776.

The previous prime is 76207663099. The next prime is 76207663109. The reversal of 76207663104 is 40136670267.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76207663099) and next prime (76207663109).

It is not an unprimeable number, because it can be changed into a prime (76207663109) 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, 296527744 + ... + 296528000.

It is an arithmetic number, because the mean of its divisors is an integer number (756813330).

Almost surely, 2^76207663104 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 76207663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108981119520).

76207663104 is an abundant number, since it is smaller than the sum of its proper divisors (141754575936).

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

76207663104 is a wasteful number, since it uses less digits than its factorization.

76207663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 76207663104 in words is "seventy-six billion, two hundred seven million, six hundred sixty-three thousand, one hundred four".