7842087360 has 896 divisors, whose sum is σ = 31835750400. Its totient is φ = 1806520320.

The previous prime is 7842087347. The next prime is 7842087371. The reversal of 7842087360 is 637802487.

It is a happy number.

7842087360 is a `hidden beast` number, since 7 + 84 + 208 + 7 + 360 = 666.

It is a super-2 number, since 2×7842087360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117046047 + ... + 117046113.

Almost surely, 2^7842087360 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 7842087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15917875200).

7842087360 is an abundant number, since it is smaller than the sum of its proper divisors (23993663040).

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

7842087360 is a wasteful number, since it uses less digits than its factorization.

7842087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7842087360 is about 88555.5608643523. The cubic root of 7842087360 is about 1986.7530664245.

The spelling of 7842087360 in words is "seven billion, eight hundred forty-two million, eighty-seven thousand, three hundred sixty".