76096512 has 132 divisors (see below), whose sum is σ = 229919040. Its totient is φ = 24195072.

The previous prime is 76096507. The next prime is 76096543. The reversal of 76096512 is 21569067.

It is a super-2 number, since 2×76096512² = 11581358277132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211789 + ... + 212147.

Almost surely, 2^76096512 is an apocalyptic number.

76096512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114959520).

76096512 is an abundant number, since it is smaller than the sum of its proper divisors (153822528).

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

76096512 is a wasteful number, since it uses less digits than its factorization.

76096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 76096512 is about 8723.3314736974. The cubic root of 76096512 is about 423.7615842501.

The spelling of 76096512 in words is "seventy-six million, ninety-six thousand, five hundred twelve".