1007707740 has 96 divisors (see below), whose sum is σ = 3170797056. Its totient is φ = 237262080.

The previous prime is 1007707733. The next prime is 1007707741. The reversal of 1007707740 is 477077001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007707741) 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 31 ways as a sum of consecutive naturals, for example, 10146 + ... + 46025.

It is an arithmetic number, because the mean of its divisors is an integer number (33029136).

Almost surely, 2^1007707740 is an apocalyptic number.

1007707740 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 1007707740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585398528).

1007707740 is an abundant number, since it is smaller than the sum of its proper divisors (2163089316).

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

1007707740 is a wasteful number, since it uses less digits than its factorization.

1007707740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56219 (or 56217 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 33.

The square root of 1007707740 is about 31744.4127367321. The cubic root of 1007707740 is about 1002.5626737599.

The spelling of 1007707740 in words is "one billion, seven million, seven hundred seven thousand, seven hundred forty".