68764400 has 60 divisors (see below), whose sum is σ = 166014672. Its totient is φ = 27371520.

The previous prime is 68764391. The next prime is 68764403. The reversal of 68764400 is 446786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68764403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140957 + ... + 141443.

Almost surely, 2^68764400 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 68764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83007336).

68764400 is an abundant number, since it is smaller than the sum of its proper divisors (97250272).

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

68764400 is a wasteful number, since it uses less digits than its factorization.

68764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 68764400 is about 8292.4302830955. The cubic root of 68764400 is about 409.6892350644.

The spelling of 68764400 in words is "sixty-eight million, seven hundred sixty-four thousand, four hundred".