8027400 has 96 divisors (see below), whose sum is σ = 26382240. Its totient is φ = 2012160.

The previous prime is 8027381. The next prime is 8027423. The reversal of 8027400 is 47208.

It is a happy number.

8027400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9807 + ... + 10593.

It is an arithmetic number, because the mean of its divisors is an integer number (274815).

Almost surely, 2^8027400 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 8027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191120).

8027400 is an abundant number, since it is smaller than the sum of its proper divisors (18354840).

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

8027400 is a wasteful number, since it uses less digits than its factorization.

8027400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8027400 is about 2833.2666658823. The cubic root of 8027400 is about 200.2280731477.

The spelling of 8027400 in words is "eight million, twenty-seven thousand, four hundred".