6788120700 has 144 divisors (see below), whose sum is σ = 20122712064. Its totient is φ = 1765958400.

The previous prime is 6788120699. The next prime is 6788120701. The reversal of 6788120700 is 70218876.

It is an interprime number because it is at equal distance from previous prime (6788120699) and next prime (6788120701).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6788120701) 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, 6076542 + ... + 6077658.

It is an arithmetic number, because the mean of its divisors is an integer number (139741056).

Almost surely, 2^6788120700 is an apocalyptic number.

6788120700 is a gapful number since it is divisible by the number (60) 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 6788120700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061356032).

6788120700 is an abundant number, since it is smaller than the sum of its proper divisors (13334591364).

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

6788120700 is a wasteful number, since it uses less digits than its factorization.

6788120700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 6788120700 is about 82390.0521907833. The cubic root of 6788120700 is about 1893.4326074404.

The spelling of 6788120700 in words is "six billion, seven hundred eighty-eight million, one hundred twenty thousand, seven hundred".