10779840 has 168 divisors, whose sum is σ = 39227760. Its totient is φ = 2709504.

The previous prime is 10779827. The next prime is 10779841. The reversal of 10779840 is 4897701.

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

It is a junction number, because it is equal to n+sod(n) for n = 10779795 and 10779804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10779841) 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, 54622 + ... + 54818.

Almost surely, 2^10779840 is an apocalyptic number.

10779840 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 10779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613880).

10779840 is an abundant number, since it is smaller than the sum of its proper divisors (28447920).

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

10779840 is a wasteful number, since it uses less digits than its factorization.

10779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 226 counting only the distinct ones).

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

The square root of 10779840 is about 3283.2666659898. The cubic root of 10779840 is about 220.9042670749.

The spelling of 10779840 in words is "ten million, seven hundred seventy-nine thousand, eight hundred forty".