15782320080 has 120 divisors (see below), whose sum is σ = 53046470880. Its totient is φ = 4205111040.

The previous prime is 15782320079. The next prime is 15782320087. The reversal of 15782320080 is 8002328751.

15782320080 is a `hidden beast` number, since 1 + 578 + 2 + 3 + 2 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (15782320087) 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, 921031 + ... + 938009.

It is an arithmetic number, because the mean of its divisors is an integer number (442053924).

Almost surely, 2^15782320080 is an apocalyptic number.

15782320080 is a gapful number since it is divisible by the number (10) 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 15782320080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523235440).

15782320080 is an abundant number, since it is smaller than the sum of its proper divisors (37264150800).

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

15782320080 is a wasteful number, since it uses less digits than its factorization.

15782320080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18289 (or 18280 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 15782320080 in words is "fifteen billion, seven hundred eighty-two million, three hundred twenty thousand, eighty".