7981365600 has 432 divisors, whose sum is σ = 30761718624. Its totient is φ = 1935360000.

The previous prime is 7981365577. The next prime is 7981365607. The reversal of 7981365600 is 65631897.

It is a happy number.

7981365600 is a `hidden beast` number, since 7 + 9 + 8 + 1 + 36 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7981365607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6645000 + ... + 6646200.

It is an arithmetic number, because the mean of its divisors is an integer number (71207682).

Almost surely, 2^7981365600 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 7981365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15380859312).

7981365600 is an abundant number, since it is smaller than the sum of its proper divisors (22780353024).

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

7981365600 is a wasteful number, since it uses less digits than its factorization.

7981365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7981365600 is about 89338.4889059581. The cubic root of 7981365600 is about 1998.4459260732.

The spelling of 7981365600 in words is "seven billion, nine hundred eighty-one million, three hundred sixty-five thousand, six hundred".