80090695800 has 576 divisors, whose sum is σ = 295322526720. Its totient is φ = 19369082880.

The previous prime is 80090695793. The next prime is 80090695807. The reversal of 80090695800 is 859609008.

80090695800 is a `hidden beast` number, since 8 + 0 + 0 + 9 + 0 + 69 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80090695793) and next prime (80090695807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80090695807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143789122 + ... + 143789678.

It is an arithmetic number, because the mean of its divisors is an integer number (512712720).

Almost surely, 2^80090695800 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 80090695800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147661263360).

80090695800 is an abundant number, since it is smaller than the sum of its proper divisors (215231830920).

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

80090695800 is a wasteful number, since it uses less digits than its factorization.

80090695800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 80090695800 in words is "eighty billion, ninety million, six hundred ninety-five thousand, eight hundred".