7485878400 has 1536 divisors, whose sum is σ = 35697715200. Its totient is φ = 1327104000.

The previous prime is 7485878399. The next prime is 7485878401. The reversal of 7485878400 is 48785847.

It is an interprime number because it is at equal distance from previous prime (7485878399) and next prime (7485878401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7485878401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182582380 + ... + 182582420.

It is an arithmetic number, because the mean of its divisors is an integer number (23240700).

Almost surely, 2^7485878400 is an apocalyptic number.

7485878400 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 7485878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17848857600).

7485878400 is an abundant number, since it is smaller than the sum of its proper divisors (28211836800).

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

7485878400 is a wasteful number, since it uses less digits than its factorization.

7485878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The square root of 7485878400 is about 86520.9708683392. The cubic root of 7485878400 is about 1956.2045110498.

The spelling of 7485878400 in words is "seven billion, four hundred eighty-five million, eight hundred seventy-eight thousand, four hundred".