1077161300 has 108 divisors (see below), whose sum is σ = 2583897120. Its totient is φ = 387953280.

The previous prime is 1077161257. The next prime is 1077161303. The reversal of 1077161300 is 31617701.

It is a self number, because there is not a number n which added to its sum of digits gives 1077161300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077161303) 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 35 ways as a sum of consecutive naturals, for example, 6860822 + ... + 6860978.

Almost surely, 2^1077161300 is an apocalyptic number.

1077161300 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 1077161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291948560).

1077161300 is an abundant number, since it is smaller than the sum of its proper divisors (1506735820).

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

1077161300 is a wasteful number, since it uses less digits than its factorization.

1077161300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 26.

The square root of 1077161300 is about 32820.1355877760. The cubic root of 1077161300 is about 1025.0858702598.

The spelling of 1077161300 in words is "one billion, seventy-seven million, one hundred sixty-one thousand, three hundred".