76405056 has 112 divisors (see below), whose sum is σ = 248863104. Its totient is φ = 20146176.

The previous prime is 76405051. The next prime is 76405067. The reversal of 76405056 is 65050467.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76405051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15286 + ... + 19658.

It is an arithmetic number, because the mean of its divisors is an integer number (2221992).

Almost surely, 2^76405056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124431552).

76405056 is an abundant number, since it is smaller than the sum of its proper divisors (172458048).

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

76405056 is a wasteful number, since it uses less digits than its factorization.

76405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 76405056 is about 8740.9985699576. The cubic root of 76405056 is about 424.3335455410. Note that the first 3 decimals are identical.

The spelling of 76405056 in words is "seventy-six million, four hundred five thousand, fifty-six".