80280149760 has 720 divisors, whose sum is σ = 306642188160. Its totient is φ = 19996139520.

The previous prime is 80280149743. The next prime is 80280149809. The reversal of 80280149760 is 6794108208.

80280149760 is a `hidden beast` number, since 80 + 2 + 80 + 1 + 497 + 6 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 163503115 + ... + 163503605.

It is an arithmetic number, because the mean of its divisors is an integer number (425891928).

Almost surely, 2^80280149760 is an apocalyptic number.

80280149760 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 80280149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153321094080).

80280149760 is an abundant number, since it is smaller than the sum of its proper divisors (226362038400).

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

80280149760 is a wasteful number, since it uses less digits than its factorization.

80280149760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 80280149760 in words is "eighty billion, two hundred eighty million, one hundred forty-nine thousand, seven hundred sixty".