7982077862400 has 240 divisors, whose sum is σ = 26685996299424. Its totient is φ = 2102908026880.

The previous prime is 7982077862393. The next prime is 7982077862441. The reversal of 7982077862400 is 42687702897.

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

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1934992 + ... + 4439408.

Almost surely, 2^{7982077862400} 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 7982077862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342998149712).

7982077862400 is an abundant number, since it is smaller than the sum of its proper divisors (18703918437024).

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

7982077862400 is a wasteful number, since it uses less digits than its factorization.

7982077862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504531 (or 2504510 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 7982077862400 in words is "seven trillion, nine hundred eighty-two billion, seventy-seven million, eight hundred sixty-two thousand, four hundred".