802944000 has 528 divisors, whose sum is σ = 3138394896. Its totient is φ = 196608000.

The previous prime is 802943929. The next prime is 802944049. The reversal of 802944000 is 449208.

It can be written as a sum of positive squares in 8 ways, for example, as 364962816 + 437981184 = 19104^2 + 20928^2 .

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, 19583980 + ... + 19584020.

Almost surely, 2^802944000 is an apocalyptic number.

802944000 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 802944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569197448).

802944000 is an abundant number, since it is smaller than the sum of its proper divisors (2335450896).

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

802944000 is a wasteful number, since it uses less digits than its factorization.

802944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

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

The square root of 802944000 is about 28336.2665148392. The cubic root of 802944000 is about 929.4551091818.

The spelling of 802944000 in words is "eight hundred two million, nine hundred forty-four thousand".