7846400 has 60 divisors (see below), whose sum is σ = 19471782. Its totient is φ = 3133440.

The previous prime is 7846357. The next prime is 7846403. The reversal of 7846400 is 46487.

It can be written as a sum of positive squares in 3 ways, for example, as 3041536 + 4804864 = 1744^2 + 2192^2 .

It is not an unprimeable number, because it can be changed into a prime (7846403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12494 + ... + 13106.

Almost surely, 2^7846400 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 7846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9735891).

7846400 is an abundant number, since it is smaller than the sum of its proper divisors (11625382).

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

7846400 is an equidigital number, since it uses as much as digits as its factorization.

7846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 7846400 is about 2801.1426240019. The cubic root of 7846400 is about 198.7117194842.

It can be divided in two parts, 784 and 6400, that multiplied together give a square (5017600 = 2240²).

The spelling of 7846400 in words is "seven million, eight hundred forty-six thousand, four hundred".