7986155520 has 416 divisors, whose sum is σ = 30195302400. Its totient is φ = 1763573760.

The previous prime is 7986155509. The next prime is 7986155549. The reversal of 7986155520 is 255516897.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7986155520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13332181 + ... + 13332779.

Almost surely, 2^7986155520 is an apocalyptic number.

7986155520 is a gapful number since it is divisible by the number (70) 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 7986155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097651200).

7986155520 is an abundant number, since it is smaller than the sum of its proper divisors (22209146880).

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

7986155520 is a wasteful number, since it uses less digits than its factorization.

7986155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The square root of 7986155520 is about 89365.2925916992. The cubic root of 7986155520 is about 1998.8456271732.

The spelling of 7986155520 in words is "seven billion, nine hundred eighty-six million, one hundred fifty-five thousand, five hundred twenty".