1073742080 has 72 divisors (see below), whose sum is σ = 2579646552. Its totient is φ = 428212224.

The previous prime is 1073742077. The next prime is 1073742091. The reversal of 1073742080 is 802473701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 1072693504 = 1024^2 + 32752^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507104 + ... + 509216.

Almost surely, 2^1073742080 is an apocalyptic number.

1073742080 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 1073742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289823276).

1073742080 is an abundant number, since it is smaller than the sum of its proper divisors (1505904472).

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

1073742080 is an equidigital number, since it uses as much as digits as its factorization.

1073742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 1073742080 is about 32768.0039062498. The cubic root of 1073742080 is about 1024.0000813802. Note that the first 4 decimals are identical.

The spelling of 1073742080 in words is "one billion, seventy-three million, seven hundred forty-two thousand, eighty".