7380820 has 24 divisors (see below), whose sum is σ = 15879528. Its totient is φ = 2880000.

The previous prime is 7380799. The next prime is 7380851. The reversal of 7380820 is 280837.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 7246864 = 366^2 + 2692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3681 + ... + 5320.

It is an arithmetic number, because the mean of its divisors is an integer number (661647).

Almost surely, 2^7380820 is an apocalyptic number.

It is an amenable number.

7380820 is an abundant number, since it is smaller than the sum of its proper divisors (8498708).

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

7380820 is a wasteful number, since it uses less digits than its factorization.

7380820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9049 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 7380820 is about 2716.7664603348. The cubic root of 7380820 is about 194.7010101309.

It can be divided in two parts, 7380 and 820, that multiplied together give a square (6051600 = 2460²).

The spelling of 7380820 in words is "seven million, three hundred eighty thousand, eight hundred twenty".