875304714240 has 720 divisors, whose sum is σ = 3425684724000. Its totient is φ = 212053524480.

The previous prime is 875304714239. The next prime is 875304714269. The reversal of 875304714240 is 42417403578.

875304714240 is a `hidden beast` number, since 8 + 7 + 530 + 4 + 71 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 583925011 + ... + 583926509.

It is an arithmetic number, because the mean of its divisors is an integer number (4757895450).

Almost surely, 2^875304714240 is an apocalyptic number.

875304714240 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 875304714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712842362000).

875304714240 is an abundant number, since it is smaller than the sum of its proper divisors (2550380009760).

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

875304714240 is an equidigital number, since it uses as much as digits as its factorization.

875304714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 875304714240 in words is "eight hundred seventy-five billion, three hundred four million, seven hundred fourteen thousand, two hundred forty".