76770096 has 80 divisors (see below), whose sum is σ = 226173024. Its totient is φ = 22228992.

The previous prime is 76770073. The next prime is 76770097. The reversal of 76770096 is 69007767.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76770097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6990 + ... + 14226.

Almost surely, 2^76770096 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 76770096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113086512).

76770096 is an abundant number, since it is smaller than the sum of its proper divisors (149402928).

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

76770096 is a wasteful number, since it uses less digits than its factorization.

76770096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 76770096 is about 8761.8545982001. The cubic root of 76770096 is about 425.0082508202.

The spelling of 76770096 in words is "seventy-six million, seven hundred seventy thousand, ninety-six".