7892352000 has 1056 divisors, whose sum is σ = 33476212224. Its totient is φ = 1769472000.

The previous prime is 7892351989. The next prime is 7892352023. The reversal of 7892352000 is 2532987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 254591985 + ... + 254592015.

Almost surely, 2^7892352000 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 7892352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16738106112).

7892352000 is an abundant number, since it is smaller than the sum of its proper divisors (25583860224).

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

7892352000 is a wasteful number, since it uses less digits than its factorization.

7892352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7892352000 is about 88838.9103940385. The cubic root of 7892352000 is about 1990.9887933883.

Adding to 7892352000 its reverse (2532987), we get a palindrome (7894884987).

The spelling of 7892352000 in words is "seven billion, eight hundred ninety-two million, three hundred fifty-two thousand".