15780096 has 90 divisors (see below), whose sum is σ = 47115222. Its totient is φ = 5253120.

The previous prime is 15780091. The next prime is 15780113. The reversal of 15780096 is 69008751.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 7485696 = 2880^2 + 2736^2 .

It is a super-2 number, since 2×15780096² = 498022859538432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15780096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15780091) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20356 + ... + 21116.

Almost surely, 2^15780096 is an apocalyptic number.

15780096 is a gapful number since it is divisible by the number (16) 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 15780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557611).

15780096 is an abundant number, since it is smaller than the sum of its proper divisors (31335126).

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

15780096 is an frugal number, since it uses more digits than its factorization.

15780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 15780096 is about 3972.4168965505. The cubic root of 15780096 is about 250.8244567620.

The spelling of 15780096 in words is "fifteen million, seven hundred eighty thousand, ninety-six".