1074380800 has 180 divisors, whose sum is σ = 2771039656. Its totient is φ = 412876800.

The previous prime is 1074380767. The next prime is 1074380809. The reversal of 1074380800 is 80834701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074380809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17612770 + ... + 17612830.

Almost surely, 2^1074380800 is an apocalyptic number.

1074380800 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 1074380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385519828).

1074380800 is an abundant number, since it is smaller than the sum of its proper divisors (1696658856).

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

1074380800 is an frugal number, since it uses more digits than its factorization.

1074380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1074380800 is about 32777.7485498928. The cubic root of 1074380800 is about 1024.2030847206.

The spelling of 1074380800 in words is "one billion, seventy-four million, three hundred eighty thousand, eight hundred".