7983771600 has 480 divisors, whose sum is σ = 30289489920. Its totient is φ = 1759979520.

The previous prime is 7983771583. The next prime is 7983771641. The reversal of 7983771600 is 61773897.

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 7983771600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35170687 + ... + 35170913.

It is an arithmetic number, because the mean of its divisors is an integer number (63103104).

Almost surely, 2^7983771600 is an apocalyptic number.

7983771600 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 7983771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144744960).

7983771600 is an abundant number, since it is smaller than the sum of its proper divisors (22305718320).

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

7983771600 is a wasteful number, since it uses less digits than its factorization.

7983771600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The square root of 7983771600 is about 89351.9535320857. The cubic root of 7983771600 is about 1998.6467178536.

The spelling of 7983771600 in words is "seven billion, nine hundred eighty-three million, seven hundred seventy-one thousand, six hundred".