80295306480 has 240 divisors, whose sum is σ = 280262062080. Its totient is φ = 21364902144.

The previous prime is 80295306479. The next prime is 80295306523. The reversal of 80295306480 is 8460359208.

80295306480 is a `hidden beast` number, since 80 + 2 + 95 + 3 + 0 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9307449 + ... + 9316071.

It is an arithmetic number, because the mean of its divisors is an integer number (1167758592).

Almost surely, 2^80295306480 is an apocalyptic number.

80295306480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80295306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140131031040).

80295306480 is an abundant number, since it is smaller than the sum of its proper divisors (199966755600).

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

80295306480 is a wasteful number, since it uses less digits than its factorization.

80295306480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 80295306480 in words is "eighty billion, two hundred ninety-five million, three hundred six thousand, four hundred eighty".