7981182720 has 540 divisors, whose sum is σ = 33241829544. Its totient is φ = 1823109120.

The previous prime is 7981182719. The next prime is 7981182749. The reversal of 7981182720 is 272811897.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×7981182720² (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 59 ways as a sum of consecutive naturals, for example, 5079535 + ... + 5081105.

Almost surely, 2^7981182720 is an apocalyptic number.

7981182720 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 7981182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620914772).

7981182720 is an abundant number, since it is smaller than the sum of its proper divisors (25260646824).

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

7981182720 is a wasteful number, since it uses less digits than its factorization.

7981182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 7981182720 is about 89337.4653770746. The cubic root of 7981182720 is about 1998.4306622449.

The spelling of 7981182720 in words is "seven billion, nine hundred eighty-one million, one hundred eighty-two thousand, seven hundred twenty".