7685990400 has 288 divisors, whose sum is σ = 27724788000. Its totient is φ = 1862860800.

The previous prime is 7685990393. The next prime is 7685990413. The reversal of 7685990400 is 40995867.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7685990400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1687326 + ... + 1691874.

It is an arithmetic number, because the mean of its divisors is an integer number (96266625).

Almost surely, 2^7685990400 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 7685990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862394000).

7685990400 is an abundant number, since it is smaller than the sum of its proper divisors (20038797600).

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

7685990400 is a wasteful number, since it uses less digits than its factorization.

7685990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4570 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 7685990400 is about 87669.7804263248. The cubic root of 7685990400 is about 1973.4824982609.

The spelling of 7685990400 in words is "seven billion, six hundred eighty-five million, nine hundred ninety thousand, four hundred".