704978536900 has 243 divisors, whose sum is σ = 1790237930677. Its totient is φ = 240738713600.

The previous prime is 704978536817. The next prime is 704978536903. The reversal of 704978536900 is 9635879407.

The square root of 704978536900 is 839630.

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

704978536900 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 13 ways, for example, as 173934038916 + 531044497984 = 417054^2 + 728728^2 .

It is a super-2 number, since 2×704978536900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (704978536903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1570107876 + ... + 1570108324.

Almost surely, 2^704978536900 is an apocalyptic number.

704978536900 is the 839630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 704978536900

704978536900 is an abundant number, since it is smaller than the sum of its proper divisors (1085259393777).

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

704978536900 is a wasteful number, since it uses less digits than its factorization.

704978536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 704978536900 in words is "seven hundred four billion, nine hundred seventy-eight million, five hundred thirty-six thousand, nine hundred".