802872120960 has 2048 divisors, whose sum is σ = 3711246336000. Its totient is φ = 159411732480.

The previous prime is 802872120931. The next prime is 802872120971. The reversal of 802872120960 is 69021278208.

802872120960 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 2×802872120960² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2857196020 + ... + 2857196300.

It is an arithmetic number, because the mean of its divisors is an integer number (1812132000).

Almost surely, 2^802872120960 is an apocalyptic number.

802872120960 is a gapful number since it is divisible by the number (80) 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 802872120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855623168000).

802872120960 is an abundant number, since it is smaller than the sum of its proper divisors (2908374215040).

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

802872120960 is a wasteful number, since it uses less digits than its factorization.

802872120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 802872120960 in words is "eight hundred two billion, eight hundred seventy-two million, one hundred twenty thousand, nine hundred sixty".