875740320 has 576 divisors, whose sum is σ = 3790934784. Its totient is φ = 179159040.

The previous prime is 875740277. The next prime is 875740321. The reversal of 875740320 is 23047578.

875740320 is a `hidden beast` number, since 87 + 574 + 0 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×875740320² = 1533842216147404800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (875740321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5372559 + ... + 5372721.

It is an arithmetic number, because the mean of its divisors is an integer number (6581484).

Almost surely, 2^875740320 is an apocalyptic number.

875740320 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 875740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895467392).

875740320 is an abundant number, since it is smaller than the sum of its proper divisors (2915194464).

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

875740320 is a wasteful number, since it uses less digits than its factorization.

875740320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 875740320 is about 29592.9099616783. The cubic root of 875740320 is about 956.7352641481.

Adding to 875740320 its reverse (23047578), we get a palindrome (898787898).

The spelling of 875740320 in words is "eight hundred seventy-five million, seven hundred forty thousand, three hundred twenty".