7985663400 has 384 divisors, whose sum is σ = 29313123840. Its totient is φ = 1772928000.

The previous prime is 7985663383. The next prime is 7985663407. The reversal of 7985663400 is 43665897.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7985663400.

It is not an unprimeable number, because it can be changed into a prime (7985663407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13985115 + ... + 13985685.

It is an arithmetic number, because the mean of its divisors is an integer number (76336260).

Almost surely, 2^7985663400 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 7985663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656561920).

7985663400 is an abundant number, since it is smaller than the sum of its proper divisors (21327460440).

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

7985663400 is a wasteful number, since it uses less digits than its factorization.

7985663400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 7985663400 is about 89362.5391313385. The cubic root of 7985663400 is about 1998.8045689480.

The spelling of 7985663400 in words is "seven billion, nine hundred eighty-five million, six hundred sixty-three thousand, four hundred".