1307826000 has 640 divisors, whose sum is σ = 5329658880. Its totient is φ = 307929600.

The previous prime is 1307825989. The next prime is 1307826041. The reversal of 1307826000 is 6287031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56861989 + ... + 56862011.

It is an arithmetic number, because the mean of its divisors is an integer number (8327592).

Almost surely, 2^1307826000 is an apocalyptic number.

1307826000 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 1307826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664829440).

1307826000 is an abundant number, since it is smaller than the sum of its proper divisors (4021832880).

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

1307826000 is an equidigital number, since it uses as much as digits as its factorization.

1307826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1307826000 is about 36163.8770045470. The cubic root of 1307826000 is about 1093.5785646951.

The spelling of 1307826000 in words is "one billion, three hundred seven million, eight hundred twenty-six thousand".