23078880 has 288 divisors, whose sum is σ = 90574848. Its totient is φ = 5299200.

The previous prime is 23078879. The next prime is 23078893. The reversal of 23078880 is 8887032.

23078880 = T₁₈₄ + T₁₈₅ + ... + T₅₂₄.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491017 + ... + 491063.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^23078880 is an apocalyptic number.

23078880 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 23078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

23078880 is an abundant number, since it is smaller than the sum of its proper divisors (67495968).

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

23078880 is a wasteful number, since it uses less digits than its factorization.

23078880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 23078880 is about 4804.0482928464. The cubic root of 23078880 is about 284.7114346084.

The spelling of 23078880 in words is "twenty-three million, seventy-eight thousand, eight hundred eighty".