809902080 has 336 divisors, whose sum is σ = 3041340120. Its totient is φ = 199360512.

The previous prime is 809902061. The next prime is 809902087. The reversal of 809902080 is 80209908.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 796594176 = 3648^2 + 28224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (809902087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62300154 + ... + 62300166.

Almost surely, 2^809902080 is an apocalyptic number.

809902080 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 809902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520670060).

809902080 is an abundant number, since it is smaller than the sum of its proper divisors (2231438040).

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

809902080 is an equidigital number, since it uses as much as digits as its factorization.

809902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 809902080 is about 28458.7786104745. The cubic root of 809902080 is about 932.1321872839.

The spelling of 809902080 in words is "eight hundred nine million, nine hundred two thousand, eighty".