7976806118400 has 1584 divisors, whose sum is σ = 32018002002432. Its totient is φ = 1744404480000.

The previous prime is 7976806118381. The next prime is 7976806118483. The reversal of 7976806118400 is 48116086797.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11782578862 + ... + 11782579538.

Almost surely, 2^{7976806118400} is an apocalyptic number.

7976806118400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7976806118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009001001216).

7976806118400 is an abundant number, since it is smaller than the sum of its proper divisors (24041195884032).

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

7976806118400 is a wasteful number, since it uses less digits than its factorization.

7976806118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 7976806118400 in words is "seven trillion, nine hundred seventy-six billion, eight hundred six million, one hundred eighteen thousand, four hundred".