80729856900 has 1215 divisors, whose sum is σ = 342970588191. Its totient is φ = 16365888000.

The previous prime is 80729856869. The next prime is 80729856913. The reversal of 80729856900 is 965892708.

It is a happy number.

The square root of 80729856900 is 284130.

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

80729856900 is a `hidden beast` number, since 8 + 0 + 72 + 9 + 8 + 569 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33980498244 + 46749358656 = 184338^2 + 216216^2 .

It is a super-2 number, since 2×80729856900² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1969020880 + ... + 1969020920.

Almost surely, 2^80729856900 is an apocalyptic number.

80729856900 is the 284130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80729856900

80729856900 is an abundant number, since it is smaller than the sum of its proper divisors (262240731291).

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

80729856900 is a wasteful number, since it uses less digits than its factorization.

80729856900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 80729856900 in words is "eighty billion, seven hundred twenty-nine million, eight hundred fifty-six thousand, nine hundred".