804749400 has 576 divisors, whose sum is σ = 3534148800. Its totient is φ = 159805440.

The previous prime is 804749399. The next prime is 804749443. The reversal of 804749400 is 4947408.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47338192 + ... + 47338208.

It is an arithmetic number, because the mean of its divisors is an integer number (6135675).

Almost surely, 2^804749400 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 804749400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767074400).

804749400 is an abundant number, since it is smaller than the sum of its proper divisors (2729399400).

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

804749400 is a wasteful number, since it uses less digits than its factorization.

804749400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 804749400 is about 28368.1053297537. The cubic root of 804749400 is about 930.1512067705.

The spelling of 804749400 in words is "eight hundred four million, seven hundred forty-nine thousand, four hundred".