76850400 has 288 divisors, whose sum is σ = 283481856. Its totient is φ = 17920000.

The previous prime is 76850363. The next prime is 76850413. The reversal of 76850400 is 405867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082365 + ... + 1082435.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^76850400 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 76850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928).

76850400 is an abundant number, since it is smaller than the sum of its proper divisors (206631456).

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

76850400 is a wasteful number, since it uses less digits than its factorization.

76850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 76850400 is about 8766.4359918955. The cubic root of 76850400 is about 425.1563899653.

The spelling of 76850400 in words is "seventy-six million, eight hundred fifty thousand, four hundred".