797915220480 has 1920 divisors, whose sum is σ = 3598773235200. Its totient is φ = 159549751296.

The previous prime is 797915220469. The next prime is 797915220503. The reversal of 797915220480 is 84022519797.

797915220480 is a `hidden beast` number, since 7 + 9 + 7 + 9 + 152 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×797915220480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15055004134 + ... + 15055004186.

It is an arithmetic number, because the mean of its divisors is an integer number (1874361060).

Almost surely, 2^797915220480 is an apocalyptic number.

797915220480 is a gapful number since it is divisible by the number (70) 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 797915220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799386617600).

797915220480 is an abundant number, since it is smaller than the sum of its proper divisors (2800858014720).

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

797915220480 is a wasteful number, since it uses less digits than its factorization.

797915220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 797915220480 in words is "seven hundred ninety-seven billion, nine hundred fifteen million, two hundred twenty thousand, four hundred eighty".