1077755280 has 80 divisors (see below), whose sum is σ = 3818338944. Its totient is φ = 246343680.

The previous prime is 1077755257. The next prime is 1077755291. The reversal of 1077755280 is 825577701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 319081 + ... + 322440.

Almost surely, 2^1077755280 is an apocalyptic number.

1077755280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077755280 is an abundant number, since it is smaller than the sum of its proper divisors (2740583664).

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

1077755280 is a wasteful number, since it uses less digits than its factorization.

1077755280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641544 (or 641538 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 42.

The square root of 1077755280 is about 32829.1833587130. The cubic root of 1077755280 is about 1025.2742569700.

The spelling of 1077755280 in words is "one billion, seventy-seven million, seven hundred fifty-five thousand, two hundred eighty".