80294226480 has 720 divisors, whose sum is σ = 317916214560. Its totient is φ = 18514096128.

The previous prime is 80294226469. The next prime is 80294226527. The reversal of 80294226480 is 8462249208.

80294226480 is a `hidden beast` number, since 80 + 2 + 94 + 2 + 2 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 902182276 + ... + 902182364.

It is an arithmetic number, because the mean of its divisors is an integer number (441550298).

Almost surely, 2^80294226480 is an apocalyptic number.

80294226480 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 80294226480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158958107280).

80294226480 is an abundant number, since it is smaller than the sum of its proper divisors (237621988080).

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

80294226480 is a wasteful number, since it uses less digits than its factorization.

80294226480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 80294226480 in words is "eighty billion, two hundred ninety-four million, two hundred twenty-six thousand, four hundred eighty".