875994240 has 512 divisors, whose sum is σ = 3348864000. Its totient is φ = 192430080.

The previous prime is 875994227. The next prime is 875994269. The reversal of 875994240 is 42499578.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 875994240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14847331 + ... + 14847389.

It is an arithmetic number, because the mean of its divisors is an integer number (6540750).

Almost surely, 2^875994240 is an apocalyptic number.

875994240 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 875994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674432000).

875994240 is an abundant number, since it is smaller than the sum of its proper divisors (2472869760).

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

875994240 is a wasteful number, since it uses less digits than its factorization.

875994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 875994240 is about 29597.1998675550. The cubic root of 875994240 is about 956.8277233460.

The spelling of 875994240 in words is "eight hundred seventy-five million, nine hundred ninety-four thousand, two hundred forty".