1123778880 has 448 divisors, whose sum is σ = 4801697280. Its totient is φ = 241532928.

The previous prime is 1123778857. The next prime is 1123778891. The reversal of 1123778880 is 888773211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1123778880² = 2525757942268108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027614 + ... + 1028706.

Almost surely, 2^1123778880 is an apocalyptic number.

1123778880 is a gapful number since it is divisible by the number (10) 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 1123778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400848640).

1123778880 is an abundant number, since it is smaller than the sum of its proper divisors (3677918400).

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

1123778880 is a wasteful number, since it uses less digits than its factorization.

1123778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 1123778880 is about 33522.8113379531. The cubic root of 1123778880 is about 1039.6654742622.

The spelling of 1123778880 in words is "one billion, one hundred twenty-three million, seven hundred seventy-eight thousand, eight hundred eighty".