827620640 has 288 divisors, whose sum is σ = 2548288512. Its totient is φ = 248371200.

The previous prime is 827620631. The next prime is 827620657. The reversal of 827620640 is 46026728.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 827620640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4201022 + ... + 4201218.

It is an arithmetic number, because the mean of its divisors is an integer number (8848224).

Almost surely, 2^827620640 is an apocalyptic number.

827620640 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 827620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274144256).

827620640 is an abundant number, since it is smaller than the sum of its proper divisors (1720667872).

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

827620640 is a wasteful number, since it uses less digits than its factorization.

827620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 827620640 is about 28768.3965489910. The cubic root of 827620640 is about 938.8807562886.

The spelling of 827620640 in words is "eight hundred twenty-seven million, six hundred twenty thousand, six hundred forty".