7632080 has 20 divisors (see below), whose sum is σ = 17744772. Its totient is φ = 3052800.

The previous prime is 7632059. The next prime is 7632083. The reversal of 7632080 is 802367.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 5973136 = 1288^2 + 2444^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×7632080³ (a number of 22 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7632083) 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 3 ways as a sum of consecutive naturals, for example, 47621 + ... + 47780.

Almost surely, 2^7632080 is an apocalyptic number.

It is an amenable number.

7632080 is an abundant number, since it is smaller than the sum of its proper divisors (10112692).

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

7632080 is a wasteful number, since it uses less digits than its factorization.

7632080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95414 (or 95408 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 7632080 is about 2762.6219430099. The cubic root of 7632080 is about 196.8857592172.

The spelling of 7632080 in words is "seven million, six hundred thirty-two thousand, eighty".