16779840 has 224 divisors, whose sum is σ = 66714624. Its totient is φ = 3471360.

The previous prime is 16779839. The next prime is 16779863. The reversal of 16779840 is 4897761.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 16779792 and 16779801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73807 + ... + 74033.

Almost surely, 2^16779840 is an apocalyptic number.

16779840 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 16779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33357312).

16779840 is an abundant number, since it is smaller than the sum of its proper divisors (49934784).

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

16779840 is a wasteful number, since it uses less digits than its factorization.

16779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 16779840 is about 4096.3202999766. The cubic root of 16779840 is about 256.0133456584.

The spelling of 16779840 in words is "sixteen million, seven hundred seventy-nine thousand, eight hundred forty".