76310400 has 96 divisors (see below), whose sum is σ = 251379000. Its totient is φ = 20346880.

The previous prime is 76310393. The next prime is 76310411. The reversal of 76310400 is 401367.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×76310400³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5626 + ... + 13574.

Almost surely, 2^76310400 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 76310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125689500).

76310400 is an abundant number, since it is smaller than the sum of its proper divisors (175068600).

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

76310400 is a wasteful number, since it uses less digits than its factorization.

76310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 76310400 is about 8735.5824076017. The cubic root of 76310400 is about 424.1582416352.

Adding to 76310400 its reverse (401367), we get a palindrome (76711767).

The spelling of 76310400 in words is "seventy-six million, three hundred ten thousand, four hundred".