820421700 has 360 divisors, whose sum is σ = 2975872032. Its totient is φ = 173859840.

The previous prime is 820421699. The next prime is 820421713. The reversal of 820421700 is 7124028.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12245067 + ... + 12245133.

Almost surely, 2^820421700 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 820421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487936016).

820421700 is an abundant number, since it is smaller than the sum of its proper divisors (2155450332).

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

820421700 is a wasteful number, since it uses less digits than its factorization.

820421700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 820421700 is about 28643.0043815239. The cubic root of 820421700 is about 936.1505848381.

Adding to 820421700 its reverse (7124028), we get a palindrome (827545728).

It can be divided in two parts, 820421 and 700, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 820421700 in words is "eight hundred twenty million, four hundred twenty-one thousand, seven hundred".