76057408 has 84 divisors (see below), whose sum is σ = 178368960. Its totient is φ = 32078592.

The previous prime is 76057403. The next prime is 76057417. The reversal of 76057408 is 80475067.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76057403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247591 + ... + 247897.

It is an arithmetic number, because the mean of its divisors is an integer number (2123440).

Almost surely, 2^76057408 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 76057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89184480).

76057408 is an abundant number, since it is smaller than the sum of its proper divisors (102311552).

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

76057408 is a wasteful number, since it uses less digits than its factorization.

76057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 76057408 is about 8721.0898401519. The cubic root of 76057408 is about 423.6889851616.

The spelling of 76057408 in words is "seventy-six million, fifty-seven thousand, four hundred eight".