7862364 has 72 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 2376192.

The previous prime is 7862363. The next prime is 7862377. The reversal of 7862364 is 4632687.

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

It is a d-powerful number, because it can be written as 7⁸ + 8⁷ + 6 + 2⁵ + 3⁴ + 6² + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7862363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17527 + ... + 17969.

It is an arithmetic number, because the mean of its divisors is an integer number (303030).

Almost surely, 2^7862364 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 7862364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909080).

7862364 is an abundant number, since it is smaller than the sum of its proper divisors (13955796).

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

7862364 is a wasteful number, since it uses less digits than its factorization.

7862364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 494 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 7862364 is about 2803.9907275168. The cubic root of 7862364 is about 198.8463920707.

It can be divided in two parts, 78623 and 64, that added together give a palindrome (78687).

The spelling of 7862364 in words is "seven million, eight hundred sixty-two thousand, three hundred sixty-four".