1258778880 has 504 divisors, whose sum is σ = 4825638720. Its totient is φ = 313528320.

The previous prime is 1258778867. The next prime is 1258778903. The reversal of 1258778880 is 888778521.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17729245 + ... + 17729315.

It is an arithmetic number, because the mean of its divisors is an integer number (9574680).

Almost surely, 2^1258778880 is an apocalyptic number.

1258778880 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 1258778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412819360).

1258778880 is an abundant number, since it is smaller than the sum of its proper divisors (3566859840).

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

1258778880 is an frugal number, since it uses more digits than its factorization.

1258778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The square root of 1258778880 is about 35479.2739497301. The cubic root of 1258778880 is about 1079.7332674626.

The spelling of 1258778880 in words is "one billion, two hundred fifty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".