804902400 has 480 divisors, whose sum is σ = 3151003680. Its totient is φ = 200540160.

The previous prime is 804902369. The next prime is 804902437. The reversal of 804902400 is 4209408.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 5875132 + ... + 5875268.

It is an arithmetic number, because the mean of its divisors is an integer number (6564591).

Almost surely, 2^804902400 is an apocalyptic number.

804902400 is a gapful number since it is divisible by the number (80) 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 804902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575501840).

804902400 is an abundant number, since it is smaller than the sum of its proper divisors (2346101280).

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

804902400 is a wasteful number, since it uses less digits than its factorization.

804902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 804902400 is about 28370.8018920862. The cubic root of 804902400 is about 930.2101502199.

The spelling of 804902400 in words is "eight hundred four million, nine hundred two thousand, four hundred".