80765809520400 has 405 divisors, whose sum is σ = 283273330787967. Its totient is φ = 21309926976000.

The previous prime is 80765809520369. The next prime is 80765809520419. The reversal of 80765809520400 is 402590856708.

The square root of 80765809520400 is 8986980.

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

80765809520400 is a `hidden beast` number, since 8 + 0 + 7 + 6 + 580 + 9 + 52 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14912974039824 + 65852835480576 = 3861732^2 + 8114976^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54461098059 + ... + 54461099541.

Almost surely, 2^{80765809520400} is an apocalyptic number.

80765809520400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80765809520400 is the 8986980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80765809520400

80765809520400 is an abundant number, since it is smaller than the sum of its proper divisors (202507521267567).

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

80765809520400 is a wasteful number, since it uses less digits than its factorization.

80765809520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 80765809520400 in words is "eighty trillion, seven hundred sixty-five billion, eight hundred nine million, five hundred twenty thousand, four hundred".