1072874880 has 768 divisors, whose sum is σ = 4811788800. Its totient is φ = 213811200.

The previous prime is 1072874863. The next prime is 1072874909. The reversal of 1072874880 is 884782701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18184291 + ... + 18184349.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^1072874880 is an apocalyptic number.

1072874880 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 1072874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1072874880 is an abundant number, since it is smaller than the sum of its proper divisors (3738913920).

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

1072874880 is a wasteful number, since it uses less digits than its factorization.

1072874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 1072874880 is about 32754.7688131057. The cubic root of 1072874880 is about 1023.7243317192.

The spelling of 1072874880 in words is "one billion, seventy-two million, eight hundred seventy-four thousand, eight hundred eighty".