820416600 has 336 divisors, whose sum is σ = 3037272120. Its totient is φ = 205286400.

The previous prime is 820416587. The next prime is 820416613. The reversal of 820416600 is 6614028.

It is an interprime number because it is at equal distance from previous prime (820416587) and next prime (820416613).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2478435 + ... + 2478765.

Almost surely, 2^820416600 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 820416600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518636060).

820416600 is an abundant number, since it is smaller than the sum of its proper divisors (2216855520).

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

820416600 is a wasteful number, since it uses less digits than its factorization.

820416600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 820416600 is about 28642.9153544118. The cubic root of 820416600 is about 936.1486450317.

The spelling of 820416600 in words is "eight hundred twenty million, four hundred sixteen thousand, six hundred".