802915072 has 72 divisors (see below), whose sum is σ = 1695375360. Its totient is φ = 378455040.

The previous prime is 802915039. The next prime is 802915079. The reversal of 802915072 is 270519208.

It is a super-2 number, since 2×802915072² = 1289345225689530368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (802915079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1862697 + ... + 1863127.

It is an arithmetic number, because the mean of its divisors is an integer number (23546880).

Almost surely, 2^802915072 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 802915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847687680).

802915072 is an abundant number, since it is smaller than the sum of its proper divisors (892460288).

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

802915072 is a wasteful number, since it uses less digits than its factorization.

802915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 802915072 is about 28335.7560689670. The cubic root of 802915072 is about 929.4439470915.

The spelling of 802915072 in words is "eight hundred two million, nine hundred fifteen thousand, seventy-two".