872076240 has 320 divisors, whose sum is σ = 3466206720. Its totient is φ = 197406720.

The previous prime is 872076229. The next prime is 872076241. The reversal of 872076240 is 42670278.

872076240 is a `hidden beast` number, since 8 + 7 + 20 + 7 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 872076195 and 872076204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872076241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2071230 + ... + 2071650.

It is an arithmetic number, because the mean of its divisors is an integer number (10831896).

Almost surely, 2^872076240 is an apocalyptic number.

872076240 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 872076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733103360).

872076240 is an abundant number, since it is smaller than the sum of its proper divisors (2594130480).

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

872076240 is a wasteful number, since it uses less digits than its factorization.

872076240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 872076240 is about 29530.9369983412. The cubic root of 872076240 is about 955.3990784778.

The spelling of 872076240 in words is "eight hundred seventy-two million, seventy-six thousand, two hundred forty".