7982726400 has 648 divisors, whose sum is σ = 31967391456. Its totient is φ = 1883750400.

The previous prime is 7982726369. The next prime is 7982726429. The reversal of 7982726400 is 46272897.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27244654 + ... + 27244946.

Almost surely, 2^7982726400 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 7982726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983695728).

7982726400 is an abundant number, since it is smaller than the sum of its proper divisors (23984665056).

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

7982726400 is a wasteful number, since it uses less digits than its factorization.

7982726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7982726400 is about 89346.1045597400. The cubic root of 7982726400 is about 1998.5594960566.

The spelling of 7982726400 in words is "seven billion, nine hundred eighty-two million, seven hundred twenty-six thousand, four hundred".