7642080 has 192 divisors, whose sum is σ = 28123200. Its totient is φ = 1935360.

The previous prime is 7642069. The next prime is 7642111. The reversal of 7642080 is 802467.

7642080 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125250 + ... + 125310.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

Almost surely, 2^7642080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

7642080 is an abundant number, since it is smaller than the sum of its proper divisors (20481120).

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

7642080 is a wasteful number, since it uses less digits than its factorization.

7642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7642080 is about 2764.4312254061. The cubic root of 7642080 is about 196.9717121209.

The spelling of 7642080 in words is "seven million, six hundred forty-two thousand, eighty".