5378400 has 180 divisors, whose sum is σ = 19850292. Its totient is φ = 1416960.

The previous prime is 5378393. The next prime is 5378411. The reversal of 5378400 is 48735.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64759 + ... + 64841.

Almost surely, 2^5378400 is an apocalyptic number.

5378400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925146).

5378400 is an abundant number, since it is smaller than the sum of its proper divisors (14471892).

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

5378400 is a wasteful number, since it uses less digits than its factorization.

5378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5378400 is about 2319.1377708105. The cubic root of 5378400 is about 175.2068302835.

It can be divided in two parts, 5378 and 400, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 5378400 in words is "five million, three hundred seventy-eight thousand, four hundred".