820412736 has 112 divisors (see below), whose sum is σ = 2550249408. Its totient is φ = 229478400.

The previous prime is 820412701. The next prime is 820412743. The reversal of 820412736 is 637214028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 820412697 and 820412706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12516 + ... + 42396.

It is an arithmetic number, because the mean of its divisors is an integer number (22770084).

Almost surely, 2^820412736 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 820412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275124704).

820412736 is an abundant number, since it is smaller than the sum of its proper divisors (1729836672).

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

820412736 is a wasteful number, since it uses less digits than its factorization.

820412736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29920 (or 29910 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 820412736 is about 28642.8479030979. The cubic root of 820412736 is about 936.1471753377.

The spelling of 820412736 in words is "eight hundred twenty million, four hundred twelve thousand, seven hundred thirty-six".