7670880 has 144 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 1751040.

The previous prime is 7670879. The next prime is 7670881. The reversal of 7670880 is 880767.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7670879) and next prime (7670881).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7670881) 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, 9700 + ... + 10460.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 2^7670880 is an apocalyptic number.

7670880 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 7670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

7670880 is an abundant number, since it is smaller than the sum of its proper divisors (22284864).

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

7670880 is a wasteful number, since it uses less digits than its factorization.

7670880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7670880 is about 2769.6353550603. The cubic root of 7670880 is about 197.2188382971.

The spelling of 7670880 in words is "seven million, six hundred seventy thousand, eight hundred eighty".