820064700 has 864 divisors, whose sum is σ = 3639767040. Its totient is φ = 149299200.

The previous prime is 820064677. The next prime is 820064723. The reversal of 820064700 is 7460028.

It is an interprime number because it is at equal distance from previous prime (820064677) and next prime (820064723).

It is a super-2 number, since 2×820064700² = 1345012224372180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26453685 + ... + 26453715.

Almost surely, 2^820064700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820064700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819883520).

820064700 is an abundant number, since it is smaller than the sum of its proper divisors (2819702340).

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

820064700 is a wasteful number, since it uses less digits than its factorization.

820064700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 820064700 is about 28636.7718152728. The cubic root of 820064700 is about 936.0147789689.

It can be divided in two parts, 8200 and 64700, that added together give a square (72900 = 270²).

The spelling of 820064700 in words is "eight hundred twenty million, sixty-four thousand, seven hundred".