875790720000 has 1980 divisors, whose sum is σ = 3838239713880. Its totient is φ = 191471616000.

The previous prime is 875790719939. The next prime is 875790720001. The reversal of 875790720000 is 27097578.

875790720000 is a `hidden beast` number, since 8 + 7 + 579 + 0 + 72 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×875790720000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875790720001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8184959947 + ... + 8184960053.

It is an arithmetic number, because the mean of its divisors is an integer number (1938504906).

Almost surely, 2^875790720000 is an apocalyptic number.

875790720000 is a gapful number since it is divisible by the number (80) 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 875790720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919119856940).

875790720000 is an abundant number, since it is smaller than the sum of its proper divisors (2962448993880).

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

875790720000 is a wasteful number, since it uses less digits than its factorization.

875790720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 875790720000 in words is "eight hundred seventy-five billion, seven hundred ninety million, seven hundred twenty thousand".