798145920 has 1024 divisors, whose sum is σ = 3701376000. Its totient is φ = 159252480.

The previous prime is 798145891. The next prime is 798145951. The reversal of 798145920 is 29541897.

798145920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×798145920² = 1274073819225292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42007671 + ... + 42007689.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^798145920 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 798145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

798145920 is an abundant number, since it is smaller than the sum of its proper divisors (2903230080).

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

798145920 is a wasteful number, since it uses less digits than its factorization.

798145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 798145920 is about 28251.4764215961. The cubic root of 798145920 is about 927.6000555622.

The spelling of 798145920 in words is "seven hundred ninety-eight million, one hundred forty-five thousand, nine hundred twenty".