7870026240 has 480 divisors, whose sum is σ = 29369298816. Its totient is φ = 1940520960.

The previous prime is 7870026209. The next prime is 7870026251. The reversal of 7870026240 is 426200787.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 7870026195 and 7870026204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27809139 + ... + 27809421.

Almost surely, 2^7870026240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7870026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14684649408).

7870026240 is an abundant number, since it is smaller than the sum of its proper divisors (21499272576).

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

7870026240 is a wasteful number, since it uses less digits than its factorization.

7870026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

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

The square root of 7870026240 is about 88713.1683573527. The cubic root of 7870026240 is about 1989.1096612264.

The spelling of 7870026240 in words is "seven billion, eight hundred seventy million, twenty-six thousand, two hundred forty".