7966000 has 80 divisors (see below), whose sum is σ = 22052160. Its totient is φ = 2726400.

The previous prime is 7965949. The next prime is 7966001. The reversal of 7966000 is 6697.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7966000.

It is not an unprimeable number, because it can be changed into a prime (7966001) 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 15 ways as a sum of consecutive naturals, for example, 13716 + ... + 14284.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^7966000 is an apocalyptic number.

7966000 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 7966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026080).

7966000 is an abundant number, since it is smaller than the sum of its proper divisors (14086160).

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

7966000 is a wasteful number, since it uses less digits than its factorization.

7966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 7966000 is about 2822.4103174415. The cubic root of 7966000 is about 199.7162643274.

The spelling of 7966000 in words is "seven million, nine hundred sixty-six thousand".