873879840 has 120 divisors (see below), whose sum is σ = 3084113340. Its totient is φ = 233031168.

The previous prime is 873879829. The next prime is 873879893. The reversal of 873879840 is 48978378.

It can be written as a sum of positive squares in 2 ways, for example, as 723179664 + 150700176 = 26892^2 + 12276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20755 + ... + 46674.

Almost surely, 2^873879840 is an apocalyptic number.

873879840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

873879840 is an abundant number, since it is smaller than the sum of its proper divisors (2210233500).

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

873879840 is a wasteful number, since it uses less digits than its factorization.

873879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67456 (or 67439 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 873879840 is about 29561.4586920199. The cubic root of 873879840 is about 956.0572668087.

The spelling of 873879840 in words is "eight hundred seventy-three million, eight hundred seventy-nine thousand, eight hundred forty".