76311400 has 48 divisors (see below), whose sum is σ = 193559040. Its totient is φ = 27748800.

The previous prime is 76311397. The next prime is 76311413. The reversal of 76311400 is 411367.

It is a super-3 number, since 3×76311400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 15144 + ... + 19543.

It is an arithmetic number, because the mean of its divisors is an integer number (4032480).

Almost surely, 2^76311400 is an apocalyptic number.

It is an amenable number.

76311400 is an abundant number, since it is smaller than the sum of its proper divisors (117247640).

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

76311400 is a wasteful number, since it uses less digits than its factorization.

76311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34714 (or 34705 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 76311400 is about 8735.6396445824. The cubic root of 76311400 is about 424.1600944031.

Adding to 76311400 its reverse (411367), we get a palindrome (76722767).

The spelling of 76311400 in words is "seventy-six million, three hundred eleven thousand, four hundred".