797461290460800 has 3456 divisors, whose sum is σ = 3518986663296000. Its totient is φ = 174723062169600.

The previous prime is 797461290460733. The next prime is 797461290460823. The reversal of 797461290460800 is 8064092164797.

797461290460800 is a `hidden beast` number, since 7 + 9 + 7 + 4 + 6 + 1 + 2 + 90 + 460 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 514823298426 + ... + 514823299974.

Almost surely, 2^{797461290460800} is an apocalyptic number.

797461290460800 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 797461290460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759493331648000).

797461290460800 is an abundant number, since it is smaller than the sum of its proper divisors (2721525372835200).

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

797461290460800 is a wasteful number, since it uses less digits than its factorization.

797461290460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 797461290460800 in words is "seven hundred ninety-seven trillion, four hundred sixty-one billion, two hundred ninety million, four hundred sixty thousand, eight hundred".