799361971200 has 792 divisors, whose sum is σ = 3165998166968. Its totient is φ = 191421480960.

The previous prime is 799361971193. The next prime is 799361971207. The reversal of 799361971200 is 2179163997.

It is a happy number.

799361971200 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 619 + 7 + 12 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (799361971193) and next prime (799361971207).

It can be written as a sum of positive squares in 12 ways, for example, as 80637825024 + 718724146176 = 283968^2 + 847776^2 .

It is a super-2 number, since 2×799361971200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799361971207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110818794 + ... + 110826006.

Almost surely, 2^799361971200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799361971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582999083484).

799361971200 is an abundant number, since it is smaller than the sum of its proper divisors (2366636195768).

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

799361971200 is a wasteful number, since it uses less digits than its factorization.

799361971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7273 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 799361971200 in words is "seven hundred ninety-nine billion, three hundred sixty-one million, nine hundred seventy-one thousand, two hundred".