1023378000 has 320 divisors, whose sum is σ = 3565486080. Its totient is φ = 251712000.

The previous prime is 1023377987. The next prime is 1023378017. The reversal of 1023378000 is 8733201.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5357905 + ... + 5358095.

It is an arithmetic number, because the mean of its divisors is an integer number (11142144).

Almost surely, 2^1023378000 is an apocalyptic number.

1023378000 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 1023378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782743040).

1023378000 is an abundant number, since it is smaller than the sum of its proper divisors (2542108080).

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

1023378000 is a wasteful number, since it uses less digits than its factorization.

1023378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1023378000 is about 31990.2797737063. The cubic root of 1023378000 is about 1007.7327176191.

The spelling of 1023378000 in words is "one billion, twenty-three million, three hundred seventy-eight thousand".