904780800 has 1056 divisors, whose sum is σ = 4386147840. Its totient is φ = 176947200.

The previous prime is 904780771. The next prime is 904780801. The reversal of 904780800 is 8087409.

904780800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904780801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53222392 + ... + 53222408.

Almost surely, 2^904780800 is an apocalyptic number.

904780800 is a gapful number since it is divisible by the number (90) 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 904780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193073920).

904780800 is an abundant number, since it is smaller than the sum of its proper divisors (3481367040).

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

904780800 is a wasteful number, since it uses less digits than its factorization.

904780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 904780800 is about 30079.5744650751. The cubic root of 904780800 is about 967.1959263170.

The spelling of 904780800 in words is "nine hundred four million, seven hundred eighty thousand, eight hundred".