801924864 has 144 divisors (see below), whose sum is σ = 2373525504. Its totient is φ = 238694400.

The previous prime is 801924859. The next prime is 801924869. The reversal of 801924864 is 468429108.

It is an interprime number because it is at equal distance from previous prime (801924859) and next prime (801924869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801924869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308209 + ... + 310799.

It is an arithmetic number, because the mean of its divisors is an integer number (16482816).

Almost surely, 2^801924864 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 801924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186762752).

801924864 is an abundant number, since it is smaller than the sum of its proper divisors (1571600640).

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

801924864 is a wasteful number, since it uses less digits than its factorization.

801924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 801924864 is about 28318.2779137433. The cubic root of 801924864 is about 929.0617059861.

The spelling of 801924864 in words is "eight hundred one million, nine hundred twenty-four thousand, eight hundred sixty-four".