1077113310 has 128 divisors (see below), whose sum is σ = 3227019264. Its totient is φ = 224017920.

The previous prime is 1077113293. The next prime is 1077113339. The reversal of 1077113310 is 133117701.

It is a super-2 number, since 2×1077113310² = 2320346165158312200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191052 + ... + 196608.

It is an arithmetic number, because the mean of its divisors is an integer number (25211088).

Almost surely, 2^1077113310 is an apocalyptic number.

1077113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613509632).

1077113310 is an abundant number, since it is smaller than the sum of its proper divisors (2149905954).

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

1077113310 is a wasteful number, since it uses less digits than its factorization.

1077113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 1077113310 is about 32819.4044735733. The cubic root of 1077113310 is about 1025.0706467269.

The spelling of 1077113310 in words is "one billion, seventy-seven million, one hundred thirteen thousand, three hundred ten".