7860253440 has 144 divisors (see below), whose sum is σ = 27034908768. Its totient is φ = 1934819328.

The previous prime is 7860253367. The next prime is 7860253447. The reversal of 7860253440 is 443520687.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (7860253447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28809 + ... + 128648.

It is an arithmetic number, because the mean of its divisors is an integer number (187742422).

Almost surely, 2^7860253440 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 7860253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517454384).

7860253440 is an abundant number, since it is smaller than the sum of its proper divisors (19174655328).

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

7860253440 is a wasteful number, since it uses less digits than its factorization.

7860253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157494 (or 157480 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 7860253440 is about 88658.0703602329. The cubic root of 7860253440 is about 1988.2859781273.

The spelling of 7860253440 in words is "seven billion, eight hundred sixty million, two hundred fifty-three thousand, four hundred forty".