820648400 has 120 divisors (see below), whose sum is σ = 2316455904. Its totient is φ = 275443200.

The previous prime is 820648391. The next prime is 820648403. The reversal of 820648400 is 4846028.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820648403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50027 + ... + 64373.

Almost surely, 2^820648400 is an apocalyptic number.

820648400 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 820648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158227952).

820648400 is an abundant number, since it is smaller than the sum of its proper divisors (1495807504).

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

820648400 is a wasteful number, since it uses less digits than its factorization.

820648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14389 (or 14378 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 820648400 is about 28646.9614444534. The cubic root of 820648400 is about 936.2368030164.

The spelling of 820648400 in words is "eight hundred twenty million, six hundred forty-eight thousand, four hundred".