13779792 has 120 divisors (see below), whose sum is σ = 44075304. Its totient is φ = 3981312.

The previous prime is 13779791. The next prime is 13779793. The reversal of 13779792 is 29797731.

It is an interprime number because it is at equal distance from previous prime (13779791) and next prime (13779793).

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 13571856 = 456^2 + 3684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13779791) 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, 31608 + ... + 32040.

Almost surely, 2^13779792 is an apocalyptic number.

13779792 is a gapful number since it is divisible by the number (12) 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 13779792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22037652).

13779792 is an abundant number, since it is smaller than the sum of its proper divisors (30295512).

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

13779792 is a wasteful number, since it uses less digits than its factorization.

13779792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 13779792 is about 3712.1142223806. The cubic root of 13779792 is about 239.7438934699.

It can be divided in two parts, 1377 and 9792, that multiplied together give a square (13483584 = 3672²).

The spelling of 13779792 in words is "thirteen million, seven hundred seventy-nine thousand, seven hundred ninety-two".