1077605760 has 512 divisors, whose sum is σ = 4420500480. Its totient is φ = 216760320.

The previous prime is 1077605731. The next prime is 1077605761. The reversal of 1077605760 is 675067701.

It is a super-2 number, since 2×1077605760² = 2322468347970355200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077605761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5469982 + ... + 5470178.

It is an arithmetic number, because the mean of its divisors is an integer number (8633790).

Almost surely, 2^1077605760 is an apocalyptic number.

1077605760 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 1077605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210250240).

1077605760 is an abundant number, since it is smaller than the sum of its proper divisors (3342894720).

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

1077605760 is a wasteful number, since it uses less digits than its factorization.

1077605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 1077605760 is about 32826.9060375784. The cubic root of 1077605760 is about 1025.2268417236.

The spelling of 1077605760 in words is "one billion, seventy-seven million, six hundred five thousand, seven hundred sixty".