7316400 has 240 divisors, whose sum is σ = 29275904. Its totient is φ = 1520640.

The previous prime is 7316389. The next prime is 7316429. The reversal of 7316400 is 46137.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109167 + ... + 109233.

Almost surely, 2^7316400 is an apocalyptic number.

7316400 is a gapful number since it is divisible by the number (70) 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 7316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637952).

7316400 is an abundant number, since it is smaller than the sum of its proper divisors (21959504).

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

7316400 is a wasteful number, since it uses less digits than its factorization.

7316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 7316400 is about 2704.8844707307. The cubic root of 7316400 is about 194.1329021663.

The spelling of 7316400 in words is "seven million, three hundred sixteen thousand, four hundred".