799971379200 has 1728 divisors, whose sum is σ = 3559740912000. Its totient is φ = 172470435840.

The previous prime is 799971379189. The next prime is 799971379211. The reversal of 799971379200 is 2973179997.

It is an interprime number because it is at equal distance from previous prime (799971379189) and next prime (799971379211).

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 3493324686 + ... + 3493324914.

It is an arithmetic number, because the mean of its divisors is an integer number (2060035250).

Almost surely, 2^799971379200 is an apocalyptic number.

799971379200 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 799971379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779870456000).

799971379200 is an abundant number, since it is smaller than the sum of its proper divisors (2759769532800).

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

799971379200 is a wasteful number, since it uses less digits than its factorization.

799971379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 13502538, while the sum is 63.

The spelling of 799971379200 in words is "seven hundred ninety-nine billion, nine hundred seventy-one million, three hundred seventy-nine thousand, two hundred".