26779840 has 56 divisors (see below), whose sum is σ = 65013840. Its totient is φ = 10503168.

The previous prime is 26779829. The next prime is 26779849. The reversal of 26779840 is 4897762.

26779840 = T₂₄₁ + T₂₄₂ + ... + T₅₅₈.

It is not an unprimeable number, because it can be changed into a prime (26779849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16171 + ... + 17749.

Almost surely, 2^26779840 is an apocalyptic number.

26779840 is a gapful number since it is divisible by the number (20) 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 26779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32506920).

26779840 is an abundant number, since it is smaller than the sum of its proper divisors (38234000).

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

26779840 is a wasteful number, since it uses less digits than its factorization.

26779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 26779840 is about 5174.9241540336. The cubic root of 26779840 is about 299.1823662003.

The spelling of 26779840 in words is "twenty-six million, seven hundred seventy-nine thousand, eight hundred forty".