1007726720 has 384 divisors, whose sum is σ = 3279242880. Its totient is φ = 289935360.

The previous prime is 1007726717. The next prime is 1007726729. The reversal of 1007726720 is 276277001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1007726729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77517434 + ... + 77517446.

It is an arithmetic number, because the mean of its divisors is an integer number (8539695).

Almost surely, 2^1007726720 is an apocalyptic number.

1007726720 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 1007726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639621440).

1007726720 is an abundant number, since it is smaller than the sum of its proper divisors (2271516160).

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

1007726720 is an equidigital number, since it uses as much as digits as its factorization.

1007726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 1007726720 is about 31744.7116855706. The cubic root of 1007726720 is about 1002.5689680849.

It can be divided in two parts, 1007 and 726720, that added together give a palindrome (727727).

The spelling of 1007726720 in words is "one billion, seven million, seven hundred twenty-six thousand, seven hundred twenty".