7878000 has 160 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 1920000.

The previous prime is 7877993. The next prime is 7878007. The reversal of 7878000 is 8787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7877993) and next prime (7878007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7878007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77950 + ... + 78050.

Almost surely, 2^7878000 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 7878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

7878000 is an abundant number, since it is smaller than the sum of its proper divisors (19745232).

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

7878000 is a wasteful number, since it uses less digits than its factorization.

7878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 7878000 is about 2806.7775116671. Note that the first 3 decimals coincide. The cubic root of 7878000 is about 198.9781210427.

The spelling of 7878000 in words is "seven million, eight hundred seventy-eight thousand".