7827380 has 48 divisors (see below), whose sum is σ = 18337536. Its totient is φ = 2782080.

The previous prime is 7827377. The next prime is 7827403. The reversal of 7827380 is 837287.

It is a happy number.

It is a super-2 number, since 2×7827380² = 122535755328800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7827380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9962 + ... + 10718.

It is an arithmetic number, because the mean of its divisors is an integer number (382032).

Almost surely, 2^7827380 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 7827380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168768).

7827380 is an abundant number, since it is smaller than the sum of its proper divisors (10510156).

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

7827380 is a wasteful number, since it uses less digits than its factorization.

7827380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 7827380 is about 2797.7455209508. The cubic root of 7827380 is about 198.5510277483.

The spelling of 7827380 in words is "seven million, eight hundred twenty-seven thousand, three hundred eighty".