76895760 has 160 divisors (see below), whose sum is σ = 258412032. Its totient is φ = 18841600.

The previous prime is 76895759. The next prime is 76895761. The reversal of 76895760 is 6759867.

It is an interprime number because it is at equal distance from previous prime (76895759) and next prime (76895761).

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

It is not an unprimeable number, because it can be changed into a prime (76895761) 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, 191560 + ... + 191960.

Almost surely, 2^76895760 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 76895760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129206016).

76895760 is an abundant number, since it is smaller than the sum of its proper divisors (181516272).

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

76895760 is a wasteful number, since it uses less digits than its factorization.

76895760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 76895760 is about 8769.0227505692. The cubic root of 76895760 is about 425.2400212838.

The spelling of 76895760 in words is "seventy-six million, eight hundred ninety-five thousand, seven hundred sixty".