263278080 has 320 divisors, whose sum is σ = 1010560320. Its totient is φ = 64585728.

The previous prime is 263278073. The next prime is 263278087. The reversal of 263278080 is 80872362.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (263278073) and next prime (263278087).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263278087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898414 + ... + 898706.

It is an arithmetic number, because the mean of its divisors is an integer number (3158001).

Almost surely, 2^263278080 is an apocalyptic number.

263278080 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 263278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505280160).

263278080 is an abundant number, since it is smaller than the sum of its proper divisors (747282240).

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

263278080 is a wasteful number, since it uses less digits than its factorization.

263278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 263278080 is about 16225.8460488198. The cubic root of 263278080 is about 640.9215889575.

The spelling of 263278080 in words is "two hundred sixty-three million, two hundred seventy-eight thousand, eighty".