1075978512 has 320 divisors, whose sum is σ = 3788646400. Its totient is φ = 285534720.

The previous prime is 1075978511. The next prime is 1075978529. The reversal of 1075978512 is 2158795701.

1075978512 is a `hidden beast` number, since 1 + 0 + 7 + 597 + 8 + 51 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1075978511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3504663 + ... + 3504969.

It is an arithmetic number, because the mean of its divisors is an integer number (11839520).

Almost surely, 2^1075978512 is an apocalyptic number.

1075978512 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 1075978512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894323200).

1075978512 is an abundant number, since it is smaller than the sum of its proper divisors (2712667888).

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

1075978512 is a wasteful number, since it uses less digits than its factorization.

1075978512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 1075978512 is about 32802.1113954575. Note that the first 3 decimals coincide. The cubic root of 1075978512 is about 1024.7105308309.

The spelling of 1075978512 in words is "one billion, seventy-five million, nine hundred seventy-eight thousand, five hundred twelve".