80695764900 has 243 divisors, whose sum is σ = 269173469929. Its totient is φ = 20216693760.

The previous prime is 80695764887. The next prime is 80695764913. The reversal of 80695764900 is 946759608.

The square root of 80695764900 is 284070.

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

80695764900 is a `hidden beast` number, since 8 + 0 + 69 + 576 + 4 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80695764887) and next prime (80695764913).

It can be written as a sum of positive squares in 13 ways, for example, as 65156646564 + 15539118336 = 255258^2 + 124656^2 .

It is a Duffinian number.

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, 144875422 + ... + 144875978.

Almost surely, 2^80695764900 is an apocalyptic number.

80695764900 is the 284070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80695764900

80695764900 is an abundant number, since it is smaller than the sum of its proper divisors (188477705029).

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

80695764900 is a wasteful number, since it uses less digits than its factorization.

80695764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 80695764900 in words is "eighty billion, six hundred ninety-five million, seven hundred sixty-four thousand, nine hundred".