1268758080 has 280 divisors, whose sum is σ = 4661733120. Its totient is φ = 327214080.

The previous prime is 1268758037. The next prime is 1268758081. The reversal of 1268758080 is 808578621.

1268758080 is a `hidden beast` number, since 1 + 2 + 68 + 7 + 580 + 8 + 0 = 666.

1268758080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1268758081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 802731 + ... + 804309.

Almost surely, 2^1268758080 is an apocalyptic number.

1268758080 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 1268758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330866560).

1268758080 is an abundant number, since it is smaller than the sum of its proper divisors (3392975040).

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

1268758080 is a wasteful number, since it uses less digits than its factorization.

1268758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1268758080 is about 35619.6305427218. The cubic root of 1268758080 is about 1082.5790216232.

The spelling of 1268758080 in words is "one billion, two hundred sixty-eight million, seven hundred fifty-eight thousand, eighty".