26777740 has 48 divisors (see below), whose sum is σ = 62415360. Its totient is φ = 9567680.

The previous prime is 26777711. The next prime is 26777741. The reversal of 26777740 is 4777762.

It is a junction number, because it is equal to n+sod(n) for n = 26777693 and 26777702.

It is not an unprimeable number, because it can be changed into a prime (26777741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11949 + ... + 14011.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 2^26777740 is an apocalyptic number.

26777740 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 26777740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207680).

26777740 is an abundant number, since it is smaller than the sum of its proper divisors (35637620).

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

26777740 is a wasteful number, since it uses less digits than its factorization.

26777740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The square root of 26777740 is about 5174.7212485312. The cubic root of 26777740 is about 299.1745456483.

The spelling of 26777740 in words is "twenty-six million, seven hundred seventy-seven thousand, seven hundred forty".