1077513800 has 96 divisors (see below), whose sum is σ = 2740806720. Its totient is φ = 390700800.

The previous prime is 1077513781. The next prime is 1077513809. The reversal of 1077513800 is 83157701.

It is a super-2 number, since 2×1077513800² = 2322071978380880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1077513809) 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 23 ways as a sum of consecutive naturals, for example, 1423022 + ... + 1423778.

It is an arithmetic number, because the mean of its divisors is an integer number (28550070).

Almost surely, 2^1077513800 is an apocalyptic number.

1077513800 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 1077513800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370403360).

1077513800 is an abundant number, since it is smaller than the sum of its proper divisors (1663292920).

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

1077513800 is a wasteful number, since it uses less digits than its factorization.

1077513800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 1077513800 is about 32825.5053274127. The cubic root of 1077513800 is about 1025.1976775197.

The spelling of 1077513800 in words is "one billion, seventy-seven million, five hundred thirteen thousand, eight hundred".