7850400 has 72 divisors (see below), whose sum is σ = 25560864. Its totient is φ = 2092800.

The previous prime is 7850371. The next prime is 7850407. The reversal of 7850400 is 40587.

7850400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (7850407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 765 + ... + 4035.

It is an arithmetic number, because the mean of its divisors is an integer number (355012).

Almost surely, 2^7850400 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 7850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780432).

7850400 is an abundant number, since it is smaller than the sum of its proper divisors (17710464).

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

7850400 is a wasteful number, since it uses less digits than its factorization.

7850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 7850400 is about 2801.8565273761. The cubic root of 7850400 is about 198.7454806931.

Adding to 7850400 its reverse (40587), we get a palindrome (7890987).

The spelling of 7850400 in words is "seven million, eight hundred fifty thousand, four hundred".