1077860224 has 128 divisors (see below), whose sum is σ = 2583521280. Its totient is φ = 437944320.

The previous prime is 1077860207. The next prime is 1077860233. The reversal of 1077860224 is 4220687701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3977209 + ... + 3977479.

It is an arithmetic number, because the mean of its divisors is an integer number (20183760).

Almost surely, 2^1077860224 is an apocalyptic number.

1077860224 is a gapful number since it is divisible by the number (14) 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 1077860224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291760640).

1077860224 is an abundant number, since it is smaller than the sum of its proper divisors (1505661056).

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

1077860224 is a wasteful number, since it uses less digits than its factorization.

1077860224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 1077860224 is about 32830.7816538078. The cubic root of 1077860224 is about 1025.3075338161.

The spelling of 1077860224 in words is "one billion, seventy-seven million, eight hundred sixty thousand, two hundred twenty-four".