804357000000 has 784 divisors, whose sum is σ = 3054310904320. Its totient is φ = 207576000000.

The previous prime is 804356999951. The next prime is 804357000037. The reversal of 804357000000 is 753408.

The cubic root of 804357000000 is 9300.

It is a perfect power (a cube), and thus also a powerful number.

804357000000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 111 ways as a sum of consecutive naturals, for example, 25946999985 + ... + 25947000015.

Almost surely, 2^804357000000 is an apocalyptic number.

804357000000 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 804357000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527155452160).

804357000000 is an abundant number, since it is smaller than the sum of its proper divisors (2249953904320).

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

804357000000 is an frugal number, since it uses more digits than its factorization.

804357000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Multiplying 804357000000 by its sum of digits (27), we get a cube (21717639000000 = 27900³).

804357000000 divided by its sum of digits (27) gives a cube (29791000000 = 3100³).

Adding to 804357000000 its reverse (753408), we get a palindrome (804357753408).

The spelling of 804357000000 in words is "eight hundred four billion, three hundred fifty-seven million", and thus it is an aban number.