76318400 has 42 divisors (see below), whose sum is σ = 187794900. Its totient is φ = 30526720.

The previous prime is 76318369. The next prime is 76318409. The reversal of 76318400 is 481367.

It is a super-3 number, since 3×76318400³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (76318409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22250 + ... + 25449.

Almost surely, 2^76318400 is an apocalyptic number.

It is an amenable number.

76318400 is an abundant number, since it is smaller than the sum of its proper divisors (111476500).

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

76318400 is a wasteful number, since it uses less digits than its factorization.

76318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47721 (or 47706 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 76318400 is about 8736.0402929474. The cubic root of 76318400 is about 424.1730633256.

Adding to 76318400 its reverse (481367), we get a palindrome (76799767).

The spelling of 76318400 in words is "seventy-six million, three hundred eighteen thousand, four hundred".