7993163200 has 504 divisors, whose sum is σ = 23751448560. Its totient is φ = 2635776000.

The previous prime is 7993163177. The next prime is 7993163279. The reversal of 7993163200 is 23613997.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150814374 + ... + 150814426.

It is an arithmetic number, because the mean of its divisors is an integer number (47125890).

Almost surely, 2^7993163200 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 7993163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11875724280).

7993163200 is an abundant number, since it is smaller than the sum of its proper divisors (15758285360).

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

7993163200 is a wasteful number, since it uses less digits than its factorization.

7993163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 7993163200 is about 89404.4920571668. The cubic root of 7993163200 is about 1999.4301042915.

The spelling of 7993163200 in words is "seven billion, nine hundred ninety-three million, one hundred sixty-three thousand, two hundred".