7792448400 has 720 divisors, whose sum is σ = 31288622400. Its totient is φ = 1839974400.

The previous prime is 7792448399. The next prime is 7792448401. The reversal of 7792448400 is 48442977.

It is an interprime number because it is at equal distance from previous prime (7792448399) and next prime (7792448401).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (7792448401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87555556 + ... + 87555644.

It is an arithmetic number, because the mean of its divisors is an integer number (43456420).

Almost surely, 2^7792448400 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 7792448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644311200).

7792448400 is an abundant number, since it is smaller than the sum of its proper divisors (23496174000).

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

7792448400 is a wasteful number, since it uses less digits than its factorization.

7792448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7792448400 is about 88274.8457942578. The cubic root of 7792448400 is about 1982.5522642164.

The spelling of 7792448400 in words is "seven billion, seven hundred ninety-two million, four hundred forty-eight thousand, four hundred".