1077679980 has 144 divisors (see below), whose sum is σ = 3727642464. Its totient is φ = 249661440.

The previous prime is 1077679979. The next prime is 1077679987. The reversal of 1077679980 is 899767701.

1077679980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1077679980² = 2322788278585600800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077679987) 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 47 ways as a sum of consecutive naturals, for example, 26235 + ... + 53325.

It is an arithmetic number, because the mean of its divisors is an integer number (25886406).

Almost surely, 2^1077679980 is an apocalyptic number.

1077679980 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 1077679980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863821232).

1077679980 is an abundant number, since it is smaller than the sum of its proper divisors (2649962484).

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

1077679980 is a wasteful number, since it uses less digits than its factorization.

1077679980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27136 (or 27131 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 1077679980 is about 32828.0364932172. The cubic root of 1077679980 is about 1025.2503786521.

The spelling of 1077679980 in words is "one billion, seventy-seven million, six hundred seventy-nine thousand, nine hundred eighty".