76406490 has 112 divisors (see below), whose sum is σ = 211534848. Its totient is φ = 19852128.

The previous prime is 76406479. The next prime is 76406507. The reversal of 76406490 is 9460467.

76406490 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 649 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 342519 + ... + 342741.

It is an arithmetic number, because the mean of its divisors is an integer number (1888704).

Almost surely, 2^76406490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76406490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105767424).

76406490 is an abundant number, since it is smaller than the sum of its proper divisors (135128358).

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

76406490 is a wasteful number, since it uses less digits than its factorization.

76406490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 76406490 is about 8741.0805968141. The cubic root of 76406490 is about 424.3362002104.

The spelling of 76406490 in words is "seventy-six million, four hundred six thousand, four hundred ninety".