1052378880 has 576 divisors, whose sum is σ = 4238438400. Its totient is φ = 221577216.

The previous prime is 1052378879. The next prime is 1052378881. The reversal of 1052378880 is 888732501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1052378879) and next prime (1052378881).

It is a super-2 number, since 2×1052378880² = 2215002614140108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052378881) 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 63 ways as a sum of consecutive naturals, for example, 22391017 + ... + 22391063.

It is an arithmetic number, because the mean of its divisors is an integer number (7358400).

Almost surely, 2^1052378880 is an apocalyptic number.

1052378880 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 1052378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119219200).

1052378880 is an abundant number, since it is smaller than the sum of its proper divisors (3186059520).

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

1052378880 is an equidigital number, since it uses as much as digits as its factorization.

1052378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1052378880 is about 32440.3896400768. The cubic root of 1052378880 is about 1017.1633603937.

The spelling of 1052378880 in words is "one billion, fifty-two million, three hundred seventy-eight thousand, eight hundred eighty".