76118400 has 192 divisors, whose sum is σ = 278888400. Its totient is φ = 20275200.

The previous prime is 76118363. The next prime is 76118429. The reversal of 76118400 is 481167.

It is a happy number.

76118400 is a `hidden beast` number, since 7 + 611 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85960 + ... + 86840.

Almost surely, 2^76118400 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 76118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139444200).

76118400 is an abundant number, since it is smaller than the sum of its proper divisors (202770000).

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

76118400 is a wasteful number, since it uses less digits than its factorization.

76118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 76118400 is about 8724.5859500609. The cubic root of 76118400 is about 423.8022098721.

Adding to 76118400 its reverse (481167), we get a palindrome (76599567).

The spelling of 76118400 in words is "seventy-six million, one hundred eighteen thousand, four hundred".