7798310400 has 240 divisors, whose sum is σ = 26596297728. Its totient is φ = 2012160000.

The previous prime is 7798310357. The next prime is 7798310437. The reversal of 7798310400 is 40138977.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187125 + ... + 1193675.

Almost surely, 2^7798310400 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 7798310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298148864).

7798310400 is an abundant number, since it is smaller than the sum of its proper divisors (18797987328).

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

7798310400 is a wasteful number, since it uses less digits than its factorization.

7798310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 7798310400 is about 88308.0426688306. The cubic root of 7798310400 is about 1983.0492756725.

The spelling of 7798310400 in words is "seven billion, seven hundred ninety-eight million, three hundred ten thousand, four hundred".