1077778720 has 24 divisors (see below), whose sum is σ = 2546252604. Its totient is φ = 431111424.

The previous prime is 1077778717. The next prime is 1077778721. The reversal of 1077778720 is 278777701.

It can be written as a sum of positive squares in 2 ways, for example, as 1052094096 + 25684624 = 32436^2 + 5068^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1077778721) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3367899 + ... + 3368218.

Almost surely, 2^1077778720 is an apocalyptic number.

1077778720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1077778720 is an abundant number, since it is smaller than the sum of its proper divisors (1468473884).

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

1077778720 is an equidigital number, since it uses as much as digits as its factorization.

1077778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6736132 (or 6736124 counting only the distinct ones).

The product of its (nonzero) digits is 268912, while the sum is 46.

The square root of 1077778720 is about 32829.5403562097. The cubic root of 1077778720 is about 1025.2816897812.

The spelling of 1077778720 in words is "one billion, seventy-seven million, seven hundred seventy-eight thousand, seven hundred twenty".