1007340000 has 240 divisors, whose sum is σ = 3356825472. Its totient is φ = 264384000.

The previous prime is 1007339987. The next prime is 1007340001. The reversal of 1007340000 is 437001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007340001) 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 39 ways as a sum of consecutive naturals, for example, 6179919 + ... + 6180081.

Almost surely, 2^1007340000 is an apocalyptic number.

1007340000 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 1007340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678412736).

1007340000 is an abundant number, since it is smaller than the sum of its proper divisors (2349485472).

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

1007340000 is a wasteful number, since it uses less digits than its factorization.

1007340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1007340000 is about 31738.6200078075. The cubic root of 1007340000 is about 1002.4407047804.

Adding to 1007340000 its reverse (437001), we get a palindrome (1007777001).

The spelling of 1007340000 in words is "one billion, seven million, three hundred forty thousand".