800902416 has 80 divisors (see below), whose sum is σ = 2103436800. Its totient is φ = 262563840.

The previous prime is 800902409. The next prime is 800902423. The reversal of 800902416 is 614209008.

It is an interprime number because it is at equal distance from previous prime (800902409) and next prime (800902423).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807681 + ... + 808671.

It is an arithmetic number, because the mean of its divisors is an integer number (26292960).

Almost surely, 2^800902416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800902416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051718400).

800902416 is an abundant number, since it is smaller than the sum of its proper divisors (1302534384).

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

800902416 is a wasteful number, since it uses less digits than its factorization.

800902416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 800902416 is about 28300.2193631074. The cubic root of 800902416 is about 928.6666892273. Note that the first 4 decimals are identical.

The spelling of 800902416 in words is "eight hundred million, nine hundred two thousand, four hundred sixteen".