80762970600 has 216 divisors, whose sum is σ = 293698755090. Its totient is φ = 19880040960.

The previous prime is 80762970577. The next prime is 80762970647. The reversal of 80762970600 is 607926708.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 4099328676 + 76663641924 = 64026^2 + 276882^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 171454 + ... + 436946.

Almost surely, 2^80762970600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80762970600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146849377545).

80762970600 is an abundant number, since it is smaller than the sum of its proper divisors (212935784490).

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

80762970600 is a wasteful number, since it uses less digits than its factorization.

80762970600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265541 (or 265516 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 80762970600 in words is "eighty billion, seven hundred sixty-two million, nine hundred seventy thousand, six hundred".