1145178880 has 72 divisors (see below), whose sum is σ = 2781916704. Its totient is φ = 451584000.

The previous prime is 1145178877. The next prime is 1145178889. The reversal of 1145178880 is 888715411.

It is a super-2 number, since 2×1145178880² = 2622869334396108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1145178889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84580 + ... + 97180.

It is an arithmetic number, because the mean of its divisors is an integer number (38637732).

Almost surely, 2^1145178880 is an apocalyptic number.

1145178880 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 1145178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390958352).

1145178880 is an abundant number, since it is smaller than the sum of its proper divisors (1636737824).

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

1145178880 is an equidigital number, since it uses as much as digits as its factorization.

1145178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693 (or 12679 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 43.

The square root of 1145178880 is about 33840.4917221958. The cubic root of 1145178880 is about 1046.2234337528.

The spelling of 1145178880 in words is "one billion, one hundred forty-five million, one hundred seventy-eight thousand, eight hundred eighty".