76204800 has 486 divisors, whose sum is σ = 328669068. Its totient is φ = 17418240.

The previous prime is 76204781. The next prime is 76204823. The reversal of 76204800 is 840267.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (486).

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10886397 + ... + 10886403.

Almost surely, 2^76204800 is an apocalyptic number.

76204800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164334534).

76204800 is an abundant number, since it is smaller than the sum of its proper divisors (252464268).

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

76204800 is an equidigital number, since it uses as much as digits as its factorization.

76204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 76204800 is about 8729.5360701471. The cubic root of 76204800 is about 423.9624981665.

Multiplying 76204800 by its sum of digits (27), we get a square (2057529600 = 45360²).

76204800 divided by its sum of digits (27) gives a square (2822400 = 1680²).

The spelling of 76204800 in words is "seventy-six million, two hundred four thousand, eight hundred".