1007746740 has 864 divisors, whose sum is σ = 4517420544. Its totient is φ = 178053120.

The previous prime is 1007746739. The next prime is 1007746759. The reversal of 1007746740 is 476477001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1007746695 and 1007746704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21441397 + ... + 21441443.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^1007746740 is an apocalyptic number.

1007746740 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 1007746740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258710272).

1007746740 is an abundant number, since it is smaller than the sum of its proper divisors (3509673804).

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

1007746740 is a wasteful number, since it uses less digits than its factorization.

1007746740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1007746740 is about 31745.0270121164. The cubic root of 1007746740 is about 1002.5756072188.

It can be divided in two parts, 1007 and 746740, that added together give a palindrome (747747).

The spelling of 1007746740 in words is "one billion, seven million, seven hundred forty-six thousand, seven hundred forty".