882577890 has 128 divisors (see below), whose sum is σ = 2452343040. Its totient is φ = 225676800.

The previous prime is 882577867. The next prime is 882577897. The reversal of 882577890 is 98775288.

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

It is not an unprimeable number, because it can be changed into a prime (882577897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 674617 + ... + 675923.

It is an arithmetic number, because the mean of its divisors is an integer number (19158930).

Almost surely, 2^882577890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882577890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226171520).

882577890 is an abundant number, since it is smaller than the sum of its proper divisors (1569765150).

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

882577890 is a wasteful number, since it uses less digits than its factorization.

882577890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The square root of 882577890 is about 29708.2125009230. The cubic root of 882577890 is about 959.2187980615.

The spelling of 882577890 in words is "eight hundred eighty-two million, five hundred seventy-seven thousand, eight hundred ninety".