827377920 has 108 divisors (see below), whose sum is σ = 2862681276. Its totient is φ = 220631040.

The previous prime is 827377897. The next prime is 827377937. The reversal of 827377920 is 29773728.

It can be written as a sum of positive squares in 2 ways, for example, as 84052224 + 743325696 = 9168^2 + 27264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24391 + ... + 47430.

Almost surely, 2^827377920 is an apocalyptic number.

827377920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827377920 is an abundant number, since it is smaller than the sum of its proper divisors (2035303356).

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

827377920 is a wasteful number, since it uses less digits than its factorization.

827377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71848 (or 71831 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 827377920 is about 28764.1777216037. The cubic root of 827377920 is about 938.7889640642.

The spelling of 827377920 in words is "eight hundred twenty-seven million, three hundred seventy-seven thousand, nine hundred twenty".