76455990 has 96 divisors (see below), whose sum is σ = 216530496. Its totient is φ = 18604800.

The previous prime is 76455989. The next prime is 76456007. The reversal of 76455990 is 9955467.

It is a happy number.

76455990 is a `hidden beast` number, since 7 + 6 + 4 + 559 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 117847 + ... + 118493.

It is an arithmetic number, because the mean of its divisors is an integer number (2255526).

Almost surely, 2^76455990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76455990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108265248).

76455990 is an abundant number, since it is smaller than the sum of its proper divisors (140074506).

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

76455990 is a wasteful number, since it uses less digits than its factorization.

76455990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 76455990 is about 8743.9115960764. The cubic root of 76455990 is about 424.4278159339.

The spelling of 76455990 in words is "seventy-six million, four hundred fifty-five thousand, nine hundred ninety".