7875738 has 48 divisors (see below), whose sum is σ = 18973440. Its totient is φ = 2420496.

The previous prime is 7875727. The next prime is 7875739. The reversal of 7875738 is 8375787.

7875738 is a `hidden beast` number, since 78 + 7 + 573 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7875693 and 7875702.

It is not an unprimeable number, because it can be changed into a prime (7875739) 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 23 ways as a sum of consecutive naturals, for example, 8695 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (395280).

Almost surely, 2^7875738 is an apocalyptic number.

7875738 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7875738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486720).

7875738 is an abundant number, since it is smaller than the sum of its proper divisors (11097702).

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

7875738 is a wasteful number, since it uses less digits than its factorization.

7875738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 881 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 7875738 is about 2806.3745295309. The cubic root of 7875738 is about 198.9590751091.

The spelling of 7875738 in words is "seven million, eight hundred seventy-five thousand, seven hundred thirty-eight".