1075767480 has 160 divisors (see below), whose sum is σ = 3828662640. Its totient is φ = 269982720.

The previous prime is 1075767409. The next prime is 1075767481. The reversal of 1075767480 is 847675701.

1075767480 is a `hidden beast` number, since 1 + 0 + 7 + 576 + 74 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075767481) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 45315 + ... + 64845.

Almost surely, 2^1075767480 is an apocalyptic number.

1075767480 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 1075767480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914331320).

1075767480 is an abundant number, since it is smaller than the sum of its proper divisors (2752895160).

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

1075767480 is a wasteful number, since it uses less digits than its factorization.

1075767480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571 (or 19558 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1075767480 is about 32798.8944935649. The cubic root of 1075767480 is about 1024.6435341857.

The spelling of 1075767480 in words is "one billion, seventy-five million, seven hundred sixty-seven thousand, four hundred eighty".