12787920 has 60 divisors (see below), whose sum is σ = 42948516. Its totient is φ = 3409920.

The previous prime is 12787919. The next prime is 12787937. The reversal of 12787920 is 2978721.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 8225424 = 2136^2 + 2868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8161 + ... + 9600.

Almost surely, 2^12787920 is an apocalyptic number.

12787920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12787920 is an abundant number, since it is smaller than the sum of its proper divisors (30160596).

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

12787920 is a wasteful number, since it uses less digits than its factorization.

12787920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17780 (or 17771 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12787920 is about 3576.0201341715. The cubic root of 12787920 is about 233.8478081157.

The spelling of 12787920 in words is "twelve million, seven hundred eighty-seven thousand, nine hundred twenty".