799377955200 has 1152 divisors, whose sum is σ = 3266013104640. Its totient is φ = 184412160000.

The previous prime is 799377955157. The next prime is 799377955217. The reversal of 799377955200 is 2559773997.

799377955200 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 7 + 79 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×799377955200³ (a number of 37 digits) contains 333 as substring.

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, 550914475 + ... + 550915925.

It is an arithmetic number, because the mean of its divisors is an integer number (2835080820).

Almost surely, 2^799377955200 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 799377955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633006552320).

799377955200 is an abundant number, since it is smaller than the sum of its proper divisors (2466635149440).

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

799377955200 is a wasteful number, since it uses less digits than its factorization.

799377955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 37507050, while the sum is 63.

The spelling of 799377955200 in words is "seven hundred ninety-nine billion, three hundred seventy-seven million, nine hundred fifty-five thousand, two hundred".