880048000 has 128 divisors (see below), whose sum is σ = 2356885440. Its totient is φ = 324864000.

The previous prime is 880047991. The next prime is 880048009. The reversal of 880048000 is 840088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (880047991) and next prime (880048009).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 880048000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880048009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205885 + ... + 210115.

Almost surely, 2^880048000 is an apocalyptic number.

880048000 is a gapful number since it is divisible by the number (80) 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 880048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178442720).

880048000 is an abundant number, since it is smaller than the sum of its proper divisors (1476837440).

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

880048000 is a wasteful number, since it uses less digits than its factorization.

880048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 880048000 is about 29665.6029771855. The cubic root of 880048000 is about 958.3013944407.

Adding to 880048000 its reverse (840088), we get a palindrome (880888088).

The spelling of 880048000 in words is "eight hundred eighty million, forty-eight thousand".