820794000 has 320 divisors, whose sum is σ = 3022306560. Its totient is φ = 189849600.

The previous prime is 820793971. The next prime is 820794011. The reversal of 820794000 is 497028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1325691 + ... + 1326309.

It is an arithmetic number, because the mean of its divisors is an integer number (9444708).

Almost surely, 2^820794000 is an apocalyptic number.

820794000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511153280).

820794000 is an abundant number, since it is smaller than the sum of its proper divisors (2201512560).

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

820794000 is a wasteful number, since it uses less digits than its factorization.

820794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 820794000 is about 28649.5026134835. The cubic root of 820794000 is about 936.2921689999.

The spelling of 820794000 in words is "eight hundred twenty million, seven hundred ninety-four thousand".