76006512 has 120 divisors (see below), whose sum is σ = 223829424. Its totient is φ = 24966144.

The previous prime is 76006493. The next prime is 76006523. The reversal of 76006512 is 21560067.

76006512 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×76006512² = 11553979732812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439258 + ... + 439430.

Almost surely, 2^76006512 is an apocalyptic number.

76006512 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 76006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111914712).

76006512 is an abundant number, since it is smaller than the sum of its proper divisors (147822912).

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

76006512 is a wasteful number, since it uses less digits than its factorization.

76006512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 76006512 is about 8718.1713678959. The cubic root of 76006512 is about 423.5944561866.

Adding to 76006512 its reverse (21560067), we get a palindrome (97566579).

The spelling of 76006512 in words is "seventy-six million, six thousand, five hundred twelve".