801928512 has 560 divisors, whose sum is σ = 3097987200. Its totient is φ = 203212800.

The previous prime is 801928507. The next prime is 801928529. The reversal of 801928512 is 215829108.

801928512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19559212 + ... + 19559252.

It is an arithmetic number, because the mean of its divisors is an integer number (5532120).

Almost surely, 2^801928512 is an apocalyptic number.

801928512 is a gapful number since it is divisible by the number (82) 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 801928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548993600).

801928512 is an abundant number, since it is smaller than the sum of its proper divisors (2296058688).

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

801928512 is a wasteful number, since it uses less digits than its factorization.

801928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 801928512 is about 28318.3423243664. The cubic root of 801928512 is about 929.0631147681.

The spelling of 801928512 in words is "eight hundred one million, nine hundred twenty-eight thousand, five hundred twelve".