7882000 has 80 divisors (see below), whose sum is σ = 21820032. Its totient is φ = 2697600.

The previous prime is 7881983. The next prime is 7882003. The reversal of 7882000 is 2887.

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 (25).

It is not an unprimeable number, because it can be changed into a prime (7882003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13719 + ... + 14281.

Almost surely, 2^7882000 is an apocalyptic number.

7882000 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 7882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910016).

7882000 is an abundant number, since it is smaller than the sum of its proper divisors (13938032).

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

7882000 is a wasteful number, since it uses less digits than its factorization.

7882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 7882000 is about 2807.4899821727. The cubic root of 7882000 is about 199.0117919327.

Adding to 7882000 its reverse (2887), we get a palindrome (7884887).

The spelling of 7882000 in words is "seven million, eight hundred eighty-two thousand".