76611400 has 48 divisors (see below), whose sum is σ = 179899200. Its totient is φ = 30338880.

The previous prime is 76611397. The next prime is 76611419. The reversal of 76611400 is 411667.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18741 + ... + 22459.

It is an arithmetic number, because the mean of its divisors is an integer number (3747900).

Almost surely, 2^76611400 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 76611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89949600).

76611400 is an abundant number, since it is smaller than the sum of its proper divisors (103287800).

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

76611400 is a wasteful number, since it uses less digits than its factorization.

76611400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 76611400 is about 8752.7938396834. The cubic root of 76611400 is about 424.7151955770.

The spelling of 76611400 in words is "seventy-six million, six hundred eleven thousand, four hundred".