7798032000 has 640 divisors, whose sum is σ = 31652786880. Its totient is φ = 1886976000.

The previous prime is 7798031999. The next prime is 7798032007. The reversal of 7798032000 is 2308977.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (7798032007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255727 + ... + 14256273.

Almost surely, 2^7798032000 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 7798032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826393440).

7798032000 is an abundant number, since it is smaller than the sum of its proper divisors (23854754880).

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

7798032000 is a wasteful number, since it uses less digits than its factorization.

7798032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7798032000 is about 88306.4663543956. The cubic root of 7798032000 is about 1983.0256770783.

The spelling of 7798032000 in words is "seven billion, seven hundred ninety-eight million, thirty-two thousand".