1356768700 has 72 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 463796160.

The previous prime is 1356768697. The next prime is 1356768709. The reversal of 1356768700 is 78676531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356768709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248601 + ... + 253999.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000).

Almost surely, 2^1356768700 is an apocalyptic number.

1356768700 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 1356768700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1356768700 is an abundant number, since it is smaller than the sum of its proper divisors (2018015300).

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

1356768700 is a wasteful number, since it uses less digits than its factorization.

1356768700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 1356768700 is about 36834.3413135080. The cubic root of 1356768700 is about 1107.0534899175.

The spelling of 1356768700 in words is "one billion, three hundred fifty-six million, seven hundred sixty-eight thousand, seven hundred".