68778100 has 72 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 25534080.

The previous prime is 68778097. The next prime is 68778103. The reversal of 68778100 is 187786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68778097) and next prime (68778103).

It is a super-2 number, since 2×68778100² = 9460854079220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68778100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68778103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100359 + ... + 101041.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^68778100 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 68778100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

68778100 is an abundant number, since it is smaller than the sum of its proper divisors (91524140).

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

68778100 is a wasteful number, since it uses less digits than its factorization.

68778100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

The square root of 68778100 is about 8293.2562965339. The cubic root of 68778100 is about 409.7164408560.

It can be divided in two parts, 687 and 78100, that added together give a palindrome (78787).

The spelling of 68778100 in words is "sixty-eight million, seven hundred seventy-eight thousand, one hundred".