802933440 has 224 divisors, whose sum is σ = 2668584960. Its totient is φ = 204288000.

The previous prime is 802933433. The next prime is 802933441. The reversal of 802933440 is 44339208.

It is not an unprimeable number, because it can be changed into a prime (802933441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4203745 + ... + 4203935.

Almost surely, 2^802933440 is an apocalyptic number.

802933440 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 802933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

802933440 is an abundant number, since it is smaller than the sum of its proper divisors (1865651520).

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

802933440 is a wasteful number, since it uses less digits than its factorization.

802933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 802933440 is about 28336.0801805754. The cubic root of 802933440 is about 929.4510345560.

The spelling of 802933440 in words is "eight hundred two million, nine hundred thirty-three thousand, four hundred forty".