882765414 has 48 divisors (see below), whose sum is σ = 1938703104. Its totient is φ = 290271600.

The previous prime is 882765413. The next prime is 882765473. The reversal of 882765414 is 414567288.

882765414 is a `hidden beast` number, since 88 + 27 + 6 + 541 + 4 = 666.

It is a super-3 number, since 3×882765414³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 882765414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882765413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575829 + ... + 577359.

It is an arithmetic number, because the mean of its divisors is an integer number (40389648).

Almost surely, 2^882765414 is an apocalyptic number.

882765414 is an abundant number, since it is smaller than the sum of its proper divisors (1055937690).

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

882765414 is a wasteful number, since it uses less digits than its factorization.

882765414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1950 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 882765414 is about 29711.3684302827. The cubic root of 882765414 is about 959.2867292926.

The spelling of 882765414 in words is "eight hundred eighty-two million, seven hundred sixty-five thousand, four hundred fourteen".