7845548400 has 360 divisors, whose sum is σ = 29911240320. Its totient is φ = 1895477760.

The previous prime is 7845548393. The next prime is 7845548407. The reversal of 7845548400 is 48455487.

It is an interprime number because it is at equal distance from previous prime (7845548393) and next prime (7845548407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7845548407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1570707 + ... + 1575693.

Almost surely, 2^7845548400 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 7845548400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955620160).

7845548400 is an abundant number, since it is smaller than the sum of its proper divisors (22065691920).

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

7845548400 is a wasteful number, since it uses less digits than its factorization.

7845548400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 7845548400 is about 88575.1003386392. The cubic root of 7845548400 is about 1987.0453024145.

The spelling of 7845548400 in words is "seven billion, eight hundred forty-five million, five hundred forty-eight thousand, four hundred".