820966680 has 48 divisors (see below), whose sum is σ = 2668142880. Its totient is φ = 218924352.

The previous prime is 820966639. The next prime is 820966697. The reversal of 820966680 is 86669028.

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

It is a congruent number.

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, 1139872 + ... + 1140591.

It is an arithmetic number, because the mean of its divisors is an integer number (55586310).

Almost surely, 2^820966680 is an apocalyptic number.

It is an amenable number.

820966680 is an abundant number, since it is smaller than the sum of its proper divisors (1847176200).

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

820966680 is a wasteful number, since it uses less digits than its factorization.

820966680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280480 (or 2280473 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 820966680 is about 28652.5161198803. The cubic root of 820966680 is about 936.3578239613.

The spelling of 820966680 in words is "eight hundred twenty million, nine hundred sixty-six thousand, six hundred eighty".