7828740 has 144 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 1900800.

The previous prime is 7828729. The next prime is 7828747. The reversal of 7828740 is 478287.

It is a super-2 number, since 2×7828740² = 122578339975200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7828695 and 7828704.

It is not an unprimeable number, because it can be changed into a prime (7828747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128310 + ... + 128370.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^7828740 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 7828740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

7828740 is an abundant number, since it is smaller than the sum of its proper divisors (18169596).

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

7828740 is a wasteful number, since it uses less digits than its factorization.

7828740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7828740 is about 2797.9885632361. The cubic root of 7828740 is about 198.5625264345.

The spelling of 7828740 in words is "seven million, eight hundred twenty-eight thousand, seven hundred forty".