80355240900 has 243 divisors, whose sum is σ = 277170452013. Its totient is φ = 19457380800.

The previous prime is 80355240881. The next prime is 80355240929. The reversal of 80355240900 is 904255308.

The square root of 80355240900 is 283470.

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

It can be written as a sum of positive squares in only one way, i.e., 28927886724 + 51427354176 = 170082^2 + 226776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93544671 + ... + 93545529.

Almost surely, 2^80355240900 is an apocalyptic number.

80355240900 is the 283470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80355240900

80355240900 is an abundant number, since it is smaller than the sum of its proper divisors (196815211113).

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

80355240900 is a wasteful number, since it uses less digits than its factorization.

80355240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 80355240900 by its sum of digits (36), we get a square (2892788672400 = 1700820²).

80355240900 divided by its sum of digits (36) gives a square (2232090025 = 47245²).

The spelling of 80355240900 in words is "eighty billion, three hundred fifty-five million, two hundred forty thousand, nine hundred".