791441536900 has 243 divisors, whose sum is σ = 2037742940037. Its totient is φ = 266034955200.

The previous prime is 791441536841. The next prime is 791441536901. The reversal of 791441536900 is 9635144197.

The square root of 791441536900 is 889630.

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

791441536900 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 only one way, i.e., 284918953284 + 506522583616 = 533778^2 + 711704^2 .

It is a super-2 number, since 2×791441536900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (791441536901) 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, 4421461011 + ... + 4421461189.

Almost surely, 2^791441536900 is an apocalyptic number.

791441536900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

791441536900 is the 889630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791441536900

791441536900 is an abundant number, since it is smaller than the sum of its proper divisors (1246301403137).

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

791441536900 is a wasteful number, since it uses less digits than its factorization.

791441536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 791441536900 by its sum of digits (49), we get a square (38780635308100 = 6227410²).

791441536900 divided by its sum of digits (49) gives a square (16151868100 = 127090²).

The spelling of 791441536900 in words is "seven hundred ninety-one billion, four hundred forty-one million, five hundred thirty-six thousand, nine hundred".