804734400 has 168 divisors, whose sum is σ = 2653223040. Its totient is φ = 213539840.

The previous prime is 804734353. The next prime is 804734431. The reversal of 804734400 is 4437408.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722967 + ... + 1723433.

Almost surely, 2^804734400 is an apocalyptic number.

804734400 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 804734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326611520).

804734400 is an abundant number, since it is smaller than the sum of its proper divisors (1848488640).

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

804734400 is a wasteful number, since it uses less digits than its factorization.

804734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 804734400 is about 28367.8409471006. The cubic root of 804734400 is about 930.1454275988.

The spelling of 804734400 in words is "eight hundred four million, seven hundred thirty-four thousand, four hundred".