802947936 has 192 divisors, whose sum is σ = 2496807936. Its totient is φ = 221184000.

The previous prime is 802947931. The next prime is 802947947. The reversal of 802947936 is 639749208.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802947931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4160256 + ... + 4160448.

It is an arithmetic number, because the mean of its divisors is an integer number (13004208).

Almost surely, 2^802947936 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 802947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248403968).

802947936 is an abundant number, since it is smaller than the sum of its proper divisors (1693860000).

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

802947936 is a wasteful number, since it uses less digits than its factorization.

802947936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 802947936 is about 28336.3359663878. The cubic root of 802947936 is about 929.4566278968.

The spelling of 802947936 in words is "eight hundred two million, nine hundred forty-seven thousand, nine hundred thirty-six".