7632378 has 48 divisors (see below), whose sum is σ = 18007080. Its totient is φ = 2336256.

The previous prime is 7632367. The next prime is 7632379. The reversal of 7632378 is 8732367.

It can be written as a sum of positive squares in 4 ways, for example, as 31329 + 7601049 = 177^2 + 2757^2 .

It is a super-3 number, since 3×7632378³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7632379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39450 + ... + 39642.

Almost surely, 2^7632378 is an apocalyptic number.

7632378 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 7632378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003540).

7632378 is an abundant number, since it is smaller than the sum of its proper divisors (10374702).

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

7632378 is a wasteful number, since it uses less digits than its factorization.

7632378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 211 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7632378 is about 2762.6758767543. The cubic root of 7632378 is about 196.8883216987. Note that the first 3 decimals are identical.

The spelling of 7632378 in words is "seven million, six hundred thirty-two thousand, three hundred seventy-eight".