1072879920 has 120 divisors (see below), whose sum is σ = 4117834656. Its totient is φ = 245228544.

The previous prime is 1072879909. The next prime is 1072879921. The reversal of 1072879920 is 299782701.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (1072879921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101397 + ... + 111476.

Almost surely, 2^1072879920 is an apocalyptic number.

1072879920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072879920 is an abundant number, since it is smaller than the sum of its proper divisors (3044954736).

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

1072879920 is a wasteful number, since it uses less digits than its factorization.

1072879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212899 (or 212890 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1072879920 is about 32754.8457483774. The cubic root of 1072879920 is about 1023.7259347525.

The spelling of 1072879920 in words is "one billion, seventy-two million, eight hundred seventy-nine thousand, nine hundred twenty".