1077765120 has 264 divisors, whose sum is σ = 3934170240. Its totient is φ = 272056320.

The previous prime is 1077765109. The next prime is 1077765179. The reversal of 1077765120 is 215677701.

1077765120 is a `hidden beast` number, since 1 + 0 + 77 + 76 + 512 + 0 = 666.

It is a super-2 number, since 2×1077765120² = 2323155307777228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874905 + ... + 876135.

It is an arithmetic number, because the mean of its divisors is an integer number (14902160).

Almost surely, 2^1077765120 is an apocalyptic number.

1077765120 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 1077765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967085120).

1077765120 is an abundant number, since it is smaller than the sum of its proper divisors (2856405120).

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

1077765120 is a wasteful number, since it uses less digits than its factorization.

1077765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 1077765120 is about 32829.3332250291. Note that the first 3 decimals coincide. The cubic root of 1077765120 is about 1025.2773772418.

It can be divided in two parts, 107776 and 5120, that added together give a square (112896 = 336²).

The spelling of 1077765120 in words is "one billion, seventy-seven million, seven hundred sixty-five thousand, one hundred twenty".