1082757312 has 378 divisors, whose sum is σ = 3926520468. Its totient is φ = 284304384.

The previous prime is 1082757301. The next prime is 1082757337. The reversal of 1082757312 is 2137572801.

1082757312 is a `hidden beast` number, since 1 + 0 + 82 + 7 + 573 + 1 + 2 = 666.

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 53 ways as a sum of consecutive naturals, for example, 4769743 + ... + 4769969.

Almost surely, 2^1082757312 is an apocalyptic number.

1082757312 is a gapful number since it is divisible by the number (12) 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 1082757312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963260234).

1082757312 is an abundant number, since it is smaller than the sum of its proper divisors (2843763156).

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

1082757312 is a wasteful number, since it uses less digits than its factorization.

1082757312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1082757312 is about 32905.2778745295. The cubic root of 1082757312 is about 1026.8579625176.

The spelling of 1082757312 in words is "one billion, eighty-two million, seven hundred fifty-seven thousand, three hundred twelve".