7885838400 has 336 divisors, whose sum is σ = 28389486528. Its totient is φ = 1900544000.

The previous prime is 7885838371. The next prime is 7885838417. The reversal of 7885838400 is 48385887.

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 47 ways as a sum of consecutive naturals, for example, 12302080 + ... + 12302720.

Almost surely, 2^7885838400 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 7885838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194743264).

7885838400 is an abundant number, since it is smaller than the sum of its proper divisors (20503648128).

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

7885838400 is a wasteful number, since it uses less digits than its factorization.

7885838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The square root of 7885838400 is about 88802.2432149098. The cubic root of 7885838400 is about 1990.4409180992.

The spelling of 7885838400 in words is "seven billion, eight hundred eighty-five million, eight hundred thirty-eight thousand, four hundred".