76406120 has 32 divisors (see below), whose sum is σ = 196473600. Its totient is φ = 26196288.

The previous prime is 76406119. The next prime is 76406123. The reversal of 76406120 is 2160467.

It is a self number, because there is not a number n which added to its sum of digits gives 76406120.

It is not an unprimeable number, because it can be changed into a prime (76406123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136160 + ... + 136719.

It is an arithmetic number, because the mean of its divisors is an integer number (6139800).

Almost surely, 2^76406120 is an apocalyptic number.

76406120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

76406120 is an abundant number, since it is smaller than the sum of its proper divisors (120067480).

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

76406120 is a wasteful number, since it uses less digits than its factorization.

76406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272897 (or 272893 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 76406120 is about 8741.0594323572. The cubic root of 76406120 is about 424.3355152571.

Adding to 76406120 its reverse (2160467), we get a palindrome (78566587).

The spelling of 76406120 in words is "seventy-six million, four hundred six thousand, one hundred twenty".