827210880 has 288 divisors, whose sum is σ = 2981232540. Its totient is φ = 219469824.

The previous prime is 827210873. The next prime is 827210903. The reversal of 827210880 is 88012728.

It can be written as a sum of positive squares in 2 ways, for example, as 776402496 + 50808384 = 27864^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 4198942 + ... + 4199138.

Almost surely, 2^827210880 is an apocalyptic number.

827210880 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 827210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490616270).

827210880 is an abundant number, since it is smaller than the sum of its proper divisors (2154021660).

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

827210880 is an frugal number, since it uses more digits than its factorization.

827210880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 827210880 is about 28761.2739634391. The cubic root of 827210880 is about 938.7257821900.

The spelling of 827210880 in words is "eight hundred twenty-seven million, two hundred ten thousand, eight hundred eighty".