1796064400 has 135 divisors (see below), whose sum is σ = 4701345579. Its totient is φ = 659093760.

The previous prime is 1796064379. The next prime is 1796064401. The reversal of 1796064400 is 44606971.

The square root of 1796064400 is 42380.

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

It can be written as a sum of positive squares in 4 ways, for example, as 462938256 + 1333126144 = 21516^2 + 36512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1796064400.

It is not an unprimeable number, because it can be changed into a prime (1796064401) 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 26 ways as a sum of consecutive naturals, for example, 11018719 + ... + 11018881.

Almost surely, 2^1796064400 is an apocalyptic number.

1796064400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1796064400 is the 42380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1796064400

1796064400 is an abundant number, since it is smaller than the sum of its proper divisors (2905281179).

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

1796064400 is a wasteful number, since it uses less digits than its factorization.

1796064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 1796064400 is about 1215.5531924066.

The spelling of 1796064400 in words is "one billion, seven hundred ninety-six million, sixty-four thousand, four hundred".