1075788400 has 60 divisors (see below), whose sum is σ = 2598297984. Its totient is φ = 428032000.

The previous prime is 1075788397. The next prime is 1075788409. The reversal of 1075788400 is 48875701.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075788409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69360 + ... + 83440.

Almost surely, 2^1075788400 is an apocalyptic number.

1075788400 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 1075788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299148992).

1075788400 is an abundant number, since it is smaller than the sum of its proper divisors (1522509584).

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

1075788400 is a wasteful number, since it uses less digits than its factorization.

1075788400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 14279 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 1075788400 is about 32799.2134052023. The cubic root of 1075788400 is about 1024.6501760807.

The spelling of 1075788400 in words is "one billion, seventy-five million, seven hundred eighty-eight thousand, four hundred".