802972800 has 432 divisors, whose sum is σ = 3338834850. Its totient is φ = 183214080.

The previous prime is 802972777. The next prime is 802972811. The reversal of 802972800 is 8279208.

It can be written as a sum of positive squares in 3 ways, for example, as 455224896 + 347747904 = 21336^2 + 18648^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1410916 + ... + 1411484.

Almost surely, 2^802972800 is an apocalyptic number.

802972800 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 802972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669417425).

802972800 is an abundant number, since it is smaller than the sum of its proper divisors (2535862050).

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

802972800 is a wasteful number, since it uses less digits than its factorization.

802972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 802972800 is about 28336.7746929674. The cubic root of 802972800 is about 929.4662216160.

The spelling of 802972800 in words is "eight hundred two million, nine hundred seventy-two thousand, eight hundred".