7983774720 has 704 divisors, whose sum is σ = 30938849280. Its totient is φ = 1970749440.

The previous prime is 7983774713. The next prime is 7983774737. The reversal of 7983774720 is 274773897.

It is a super-2 number, since 2×7983774720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257541105 + ... + 257541135.

Almost surely, 2^7983774720 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 7983774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469424640).

7983774720 is an abundant number, since it is smaller than the sum of its proper divisors (22955074560).

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

7983774720 is an equidigital number, since it uses as much as digits as its factorization.

7983774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The square root of 7983774720 is about 89351.9709911315. The cubic root of 7983774720 is about 1998.6469782058.

The spelling of 7983774720 in words is "seven billion, nine hundred eighty-three million, seven hundred seventy-four thousand, seven hundred twenty".