7616400 has 120 divisors (see below), whose sum is σ = 26661984. Its totient is φ = 1843200.

The previous prime is 7616393. The next prime is 7616407. The reversal of 7616400 is 46167.

It is an interprime number because it is at equal distance from previous prime (7616393) and next prime (7616407).

It is a tau number, because it is divible by the number of its divisors (120).

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 (7616407) 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 23 ways as a sum of consecutive naturals, for example, 12912 + ... + 13488.

Almost surely, 2^7616400 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 7616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13330992).

7616400 is an abundant number, since it is smaller than the sum of its proper divisors (19045584).

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

7616400 is a wasteful number, since it uses less digits than its factorization.

7616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7616400 is about 2759.7826001336. The cubic root of 7616400 is about 196.7508337751.

The spelling of 7616400 in words is "seven million, six hundred sixteen thousand, four hundred".