827370768 has 40 divisors (see below), whose sum is σ = 2442714688. Its totient is φ = 236391552.

The previous prime is 827370767. The next prime is 827370779. The reversal of 827370768 is 867073728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (827370767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1230871 + ... + 1231542.

Almost surely, 2^827370768 is an apocalyptic number.

It is an amenable number.

827370768 is an abundant number, since it is smaller than the sum of its proper divisors (1615343920).

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

827370768 is a wasteful number, since it uses less digits than its factorization.

827370768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462431 (or 2462425 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 827370768 is about 28764.0534000339. The cubic root of 827370768 is about 938.7862590376.

The spelling of 827370768 in words is "eight hundred twenty-seven million, three hundred seventy thousand, seven hundred sixty-eight".