76071840768 has 880 divisors, whose sum is σ = 290851908864. Its totient is φ = 19229736960.

The previous prime is 76071840749. The next prime is 76071840769. The reversal of 76071840768 is 86704817067.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76071840769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274627446 + ... + 274627722.

Almost surely, 2^76071840768 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 76071840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145425954432).

76071840768 is an abundant number, since it is smaller than the sum of its proper divisors (214780068096).

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

76071840768 is a wasteful number, since it uses less digits than its factorization.

76071840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 76071840768 in words is "seventy-six billion, seventy-one million, eight hundred forty thousand, seven hundred sixty-eight".