26776480 has 48 divisors (see below), whose sum is σ = 63862344. Its totient is φ = 10608640.

The previous prime is 26776471. The next prime is 26776517. The reversal of 26776480 is 8467762.

It can be written as a sum of positive squares in 4 ways, for example, as 12306064 + 14470416 = 3508^2 + 3804^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17340 + ... + 18820.

Almost surely, 2^26776480 is an apocalyptic number.

26776480 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 26776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31931172).

26776480 is an abundant number, since it is smaller than the sum of its proper divisors (37085864).

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

26776480 is a wasteful number, since it uses less digits than its factorization.

26776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 26776480 is about 5174.5995014107. The cubic root of 26776480 is about 299.1698531209.

The spelling of 26776480 in words is "twenty-six million, seven hundred seventy-six thousand, four hundred eighty".