76397760 has 168 divisors, whose sum is σ = 269601696. Its totient is φ = 19845120.

The previous prime is 76397731. The next prime is 76397771. The reversal of 76397760 is 6779367.

76397760 is a `hidden beast` number, since 7 + 639 + 7 + 7 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117757 + ... + 118403.

It is an arithmetic number, because the mean of its divisors is an integer number (1604772).

Almost surely, 2^76397760 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 76397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134800848).

76397760 is an abundant number, since it is smaller than the sum of its proper divisors (193203936).

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

76397760 is a wasteful number, since it uses less digits than its factorization.

76397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 76397760 is about 8740.5812163723. The cubic root of 76397760 is about 424.3200384240.

The spelling of 76397760 in words is "seventy-six million, three hundred ninety-seven thousand, seven hundred sixty".