870240000 has 540 divisors, whose sum is σ = 3457724424. Its totient is φ = 193536000.

The previous prime is 870239989. The next prime is 870240001. The reversal of 870240000 is 42078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870240001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23519982 + ... + 23520018.

Almost surely, 2^870240000 is an apocalyptic number.

870240000 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 870240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728862212).

870240000 is an abundant number, since it is smaller than the sum of its proper divisors (2587484424).

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

870240000 is an equidigital number, since it uses as much as digits as its factorization.

870240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 870240000 is about 29499.8305079877. The cubic root of 870240000 is about 954.7280458787.

Adding to 870240000 its reverse (42078), we get a palindrome (870282078).

The spelling of 870240000 in words is "eight hundred seventy million, two hundred forty thousand".