796675461120 has 2106 divisors, whose sum is σ = 3666518703666. Its totient is φ = 165542952960.

The previous prime is 796675461097. The next prime is 796675461133. The reversal of 796675461120 is 21164576697.

796675461120 is a `hidden beast` number, since 7 + 9 + 6 + 67 + 546 + 11 + 20 = 666.

It can be written as a sum of positive squares in only one way, i.e., 637340368896 + 159335092224 = 798336^2 + 399168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 72425041915 + ... + 72425041925.

Almost surely, 2^796675461120 is an apocalyptic number.

796675461120 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 796675461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833259351833).

796675461120 is an abundant number, since it is smaller than the sum of its proper divisors (2869843242546).

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

796675461120 is an frugal number, since it uses more digits than its factorization.

796675461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 796675461120 in words is "seven hundred ninety-six billion, six hundred seventy-five million, four hundred sixty-one thousand, one hundred twenty".