7978600 has 96 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 2649600.

The previous prime is 7978577. The next prime is 7978603. The reversal of 7978600 is 68797.

It is a self number, because there is not a number n which added to its sum of digits gives 7978600.

It is not an unprimeable number, because it can be changed into a prime (7978603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57331 + ... + 57469.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 2^7978600 is an apocalyptic number.

7978600 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 7978600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

7978600 is an abundant number, since it is smaller than the sum of its proper divisors (13895000).

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

7978600 is a wasteful number, since it uses less digits than its factorization.

7978600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 7978600 is about 2824.6415701820. The cubic root of 7978600 is about 199.8215074160.

The spelling of 7978600 in words is "seven million, nine hundred seventy-eight thousand, six hundred".