820348977 has 16 divisors (see below), whose sum is σ = 1250587520. Its totient is φ = 468571392.

The previous prime is 820348909. The next prime is 820348979. The reversal of 820348977 is 779843028.

It is not a de Polignac number, because 820348977 - 2⁸ = 820348721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820348979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52599 + ... + 66387.

It is an arithmetic number, because the mean of its divisors is an integer number (78161720).

Almost surely, 2^820348977 is an apocalyptic number.

It is an amenable number.

820348977 is a deficient number, since it is larger than the sum of its proper divisors (430238543).

820348977 is a wasteful number, since it uses less digits than its factorization.

820348977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16632.

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 820348977 is about 28641.7348811136. The cubic root of 820348977 is about 936.1229235794.

The spelling of 820348977 in words is "eight hundred twenty million, three hundred forty-eight thousand, nine hundred seventy-seven".