7948000 has 48 divisors (see below), whose sum is σ = 19538064. Its totient is φ = 3177600.

The previous prime is 7947983. The next prime is 7948019. The reversal of 7948000 is 8497.

7948000 is nontrivially palindromic in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 7948000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3007 + ... + 4993.

It is an arithmetic number, because the mean of its divisors is an integer number (407043).

Almost surely, 2^7948000 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 7948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9769032).

7948000 is an abundant number, since it is smaller than the sum of its proper divisors (11590064).

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

7948000 is a wasteful number, since it uses less digits than its factorization.

7948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 7948000 is about 2819.2197502146. The cubic root of 7948000 is about 199.5657243726.

The spelling of 7948000 in words is "seven million, nine hundred forty-eight thousand".