7628740 has 48 divisors (see below), whose sum is σ = 18950400. Its totient is φ = 2524032.

The previous prime is 7628723. The next prime is 7628741. The reversal of 7628740 is 478267.

It is a junction number, because it is equal to n+sod(n) for n = 7628696 and 7628705.

It is not an unprimeable number, because it can be changed into a prime (7628741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3121 + ... + 4999.

It is an arithmetic number, because the mean of its divisors is an integer number (394800).

Almost surely, 2^7628740 is an apocalyptic number.

7628740 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 7628740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475200).

7628740 is an abundant number, since it is smaller than the sum of its proper divisors (11321660).

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

7628740 is a wasteful number, since it uses less digits than its factorization.

7628740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 7628740 is about 2762.0173786564. The cubic root of 7628740 is about 196.8570342218.

The spelling of 7628740 in words is "seven million, six hundred twenty-eight thousand, seven hundred forty".