688378100 has 72 divisors (see below), whose sum is σ = 1529902080. Its totient is φ = 268773120.

The previous prime is 688378091. The next prime is 688378111. The reversal of 688378100 is 1873886.

It is a super-2 number, since 2×688378100² = 947728817119220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850496 + ... + 851304.

It is an arithmetic number, because the mean of its divisors is an integer number (21248640).

Almost surely, 2^688378100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764951040).

688378100 is an abundant number, since it is smaller than the sum of its proper divisors (841523980).

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

688378100 is a wasteful number, since it uses less digits than its factorization.

688378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 688378100 is about 26236.9605709198. The cubic root of 688378100 is about 882.9626814071.

The spelling of 688378100 in words is "six hundred eighty-eight million, three hundred seventy-eight thousand, one hundred".