882414720 has 384 divisors, whose sum is σ = 3503822400. Its totient is φ = 202383360.

The previous prime is 882414719. The next prime is 882414763. The reversal of 882414720 is 27414288.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1203474 + ... + 1204206.

Almost surely, 2^882414720 is an apocalyptic number.

882414720 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 882414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751911200).

882414720 is an abundant number, since it is smaller than the sum of its proper divisors (2621407680).

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

882414720 is a wasteful number, since it uses less digits than its factorization.

882414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 882414720 is about 29705.4661636541. The cubic root of 882414720 is about 959.1596813235.

The spelling of 882414720 in words is "eight hundred eighty-two million, four hundred fourteen thousand, seven hundred twenty".