608778400 has 72 divisors (see below), whose sum is σ = 1489592160. Its totient is φ = 242952960.

The previous prime is 608778367. The next prime is 608778419. The reversal of 608778400 is 4877806.

It is a super-2 number, since 2×608778400² = 741222280613120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670747 + ... + 671653.

It is an arithmetic number, because the mean of its divisors is an integer number (20688780).

Almost surely, 2^608778400 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 608778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744796080).

608778400 is an abundant number, since it is smaller than the sum of its proper divisors (880813760).

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

608778400 is a wasteful number, since it uses less digits than its factorization.

608778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 608778400 is about 24673.4351074187. The cubic root of 608778400 is about 847.5260939341.

The spelling of 608778400 in words is "six hundred eight million, seven hundred seventy-eight thousand, four hundred".