76047870720 has 288 divisors, whose sum is σ = 265467525120. Its totient is φ = 18470338560.

The previous prime is 76047870649. The next prime is 76047870727. The reversal of 76047870720 is 2707874067.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 76047870720.

It is not an unprimeable number, because it can be changed into a prime (76047870727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004891 + ... + 2042469.

It is an arithmetic number, because the mean of its divisors is an integer number (921762240).

Almost surely, 2^76047870720 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 76047870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132733762560).

76047870720 is an abundant number, since it is smaller than the sum of its proper divisors (189419654400).

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

76047870720 is a wasteful number, since it uses less digits than its factorization.

76047870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37651 (or 37637 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The spelling of 76047870720 in words is "seventy-six billion, forty-seven million, eight hundred seventy thousand, seven hundred twenty".