26790400 has 240 divisors, whose sum is σ = 85244544. Its totient is φ = 8110080.

The previous prime is 26790391. The next prime is 26790427. The reversal of 26790400 is 409762.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164789 + ... + 1164811.

Almost surely, 2^26790400 is an apocalyptic number.

26790400 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 26790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42622272).

26790400 is an abundant number, since it is smaller than the sum of its proper divisors (58454144).

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

26790400 is a wasteful number, since it uses less digits than its factorization.

26790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 26790400 is about 5175.9443582790. The cubic root of 26790400 is about 299.2216862087.

The spelling of 26790400 in words is "twenty-six million, seven hundred ninety thousand, four hundred".