80541780480 has 240 divisors, whose sum is σ = 318787881984. Its totient is φ = 18409512960.

The previous prime is 80541780479. The next prime is 80541780541. The reversal of 80541780480 is 8408714508.

80541780480 is a `hidden beast` number, since 80 + 5 + 4 + 17 + 80 + 480 = 666.

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

It is a super-3 number, since 3×80541780480³ (a number of 34 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 88416 + ... + 410975.

Almost surely, 2^80541780480 is an apocalyptic number.

80541780480 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 80541780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159393940992).

80541780480 is an abundant number, since it is smaller than the sum of its proper divisors (238246101504).

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

80541780480 is a wasteful number, since it uses less digits than its factorization.

80541780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499427 (or 499408 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 80541780480 in words is "eighty billion, five hundred forty-one million, seven hundred eighty thousand, four hundred eighty".