796472772480 has 1536 divisors, whose sum is σ = 3609666478080. Its totient is φ = 156996403200.

The previous prime is 796472772463. The next prime is 796472772499. The reversal of 796472772480 is 84277274697.

796472772480 is a `hidden beast` number, since 7 + 9 + 64 + 7 + 27 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 728702814 + ... + 728703906.

It is an arithmetic number, because the mean of its divisors is an integer number (2350043280).

Almost surely, 2^796472772480 is an apocalyptic number.

796472772480 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 796472772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804833239040).

796472772480 is an abundant number, since it is smaller than the sum of its proper divisors (2813193705600).

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

796472772480 is a wasteful number, since it uses less digits than its factorization.

796472772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 796472772480 in words is "seven hundred ninety-six billion, four hundred seventy-two million, seven hundred seventy-two thousand, four hundred eighty".