882776448 has 128 divisors (see below), whose sum is σ = 2621808000. Its totient is φ = 292409856.

The previous prime is 882776437. The next prime is 882776473. The reversal of 882776448 is 844677288.

It is a happy number.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 882776394 and 882776403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617911 + ... + 619337.

It is an arithmetic number, because the mean of its divisors is an integer number (20482875).

Almost surely, 2^882776448 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 882776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310904000).

882776448 is an abundant number, since it is smaller than the sum of its proper divisors (1739031552).

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

882776448 is a wasteful number, since it uses less digits than its factorization.

882776448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1611 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 882776448 is about 29711.5541162020. The cubic root of 882776448 is about 959.2907260984.

The spelling of 882776448 in words is "eight hundred eighty-two million, seven hundred seventy-six thousand, four hundred forty-eight".