1007273080 has 64 divisors (see below), whose sum is σ = 2552186880. Its totient is φ = 354460800.

The previous prime is 1007273077. The next prime is 1007273083. The reversal of 1007273080 is 803727001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1007273077) and next prime (1007273083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007273083) 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 15 ways as a sum of consecutive naturals, for example, 23284 + ... + 50563.

It is an arithmetic number, because the mean of its divisors is an integer number (39877920).

Almost surely, 2^1007273080 is an apocalyptic number.

1007273080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007273080 is an abundant number, since it is smaller than the sum of its proper divisors (1544913800).

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

1007273080 is a wasteful number, since it uses less digits than its factorization.

1007273080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73900 (or 73896 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1007273080 is about 31737.5657541658. The cubic root of 1007273080 is about 1002.4185061128.

The spelling of 1007273080 in words is "one billion, seven million, two hundred seventy-three thousand, eighty".