80305407360 has 192 divisors, whose sum is σ = 277453566000. Its totient is φ = 21403275264.

The previous prime is 80305407349. The next prime is 80305407361. The reversal of 80305407360 is 6370450308.

It is a happy number.

80305407360 is a `hidden beast` number, since 80 + 3 + 0 + 540 + 7 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80305407361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19979431 + ... + 19983449.

Almost surely, 2^80305407360 is an apocalyptic number.

80305407360 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 80305407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138726783000).

80305407360 is an abundant number, since it is smaller than the sum of its proper divisors (197148158640).

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

80305407360 is a wasteful number, since it uses less digits than its factorization.

80305407360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7498 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 80305407360 its reverse (6370450308), we get a palindrome (86675857668).

The spelling of 80305407360 in words is "eighty billion, three hundred five million, four hundred seven thousand, three hundred sixty".