806368080400 has 135 divisors (see below), whose sum is σ = 1973284440583. Its totient is φ = 316663667200.

The previous prime is 806368080379. The next prime is 806368080431. The reversal of 806368080400 is 4080863608.

The square root of 806368080400 is 897980.

It is a perfect power (a square), and thus also a powerful number.

806368080400 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 4 ways, for example, as 475862669584 + 330505410816 = 689828^2 + 574896^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1059616020 + ... + 1059616780.

Almost surely, 2^806368080400 is an apocalyptic number.

806368080400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

806368080400 is the 897980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806368080400

806368080400 is an abundant number, since it is smaller than the sum of its proper divisors (1166916360183).

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

806368080400 is an frugal number, since it uses more digits than its factorization.

806368080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 806368080400 in words is "eight hundred six billion, three hundred sixty-eight million, eighty thousand, four hundred".