872739840 has 176 divisors, whose sum is σ = 3190568832. Its totient is φ = 199458816.

The previous prime is 872739823. The next prime is 872739841. The reversal of 872739840 is 48937278.

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 872739840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872739841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103462 + ... + 111578.

It is an arithmetic number, because the mean of its divisors is an integer number (18128232).

Almost surely, 2^872739840 is an apocalyptic number.

872739840 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 872739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595284416).

872739840 is an abundant number, since it is smaller than the sum of its proper divisors (2317828992).

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

872739840 is a wasteful number, since it uses less digits than its factorization.

872739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 872739840 is about 29542.1705363705. The cubic root of 872739840 is about 955.6413516699.

The spelling of 872739840 in words is "eight hundred seventy-two million, seven hundred thirty-nine thousand, eight hundred forty".