850720400 has 30 divisors (see below), whose sum is σ = 2043856722. Its totient is φ = 340288000.

The previous prime is 850720399. The next prime is 850720433. The reversal of 850720400 is 4027058.

850720400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3444736 + 847275664 = 1856^2 + 29108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 850720400.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063001 + ... + 1063800.

Almost surely, 2^850720400 is an apocalyptic number.

850720400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

850720400 is an abundant number, since it is smaller than the sum of its proper divisors (1193136322).

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

850720400 is a wasteful number, since it uses less digits than its factorization.

850720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126819 (or 2126808 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 850720400 is about 29167.1116156537. Note that the first 3 decimals coincide. The cubic root of 850720400 is about 947.5357741823.

Adding to 850720400 its reverse (4027058), we get a palindrome (854747458).

The spelling of 850720400 in words is "eight hundred fifty million, seven hundred twenty thousand, four hundred".