7938000 has 300 divisors, whose sum is σ = 33353892. Its totient is φ = 1814400.

The previous prime is 7937987. The next prime is 7938023. The reversal of 7938000 is 8397.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 7683984 = 504^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1133997 + ... + 1134003.

Almost surely, 2^7938000 is an apocalyptic number.

7938000 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 7938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16676946).

7938000 is an abundant number, since it is smaller than the sum of its proper divisors (25415892).

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

7938000 is a wasteful number, since it uses less digits than its factorization.

7938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7938000 is about 2817.4456516497. The cubic root of 7938000 is about 199.4819928345.

The spelling of 7938000 in words is "seven million, nine hundred thirty-eight thousand".