616078000 has 160 divisors (see below), whose sum is σ = 1587755520. Its totient is φ = 230700800.

The previous prime is 616077997. The next prime is 616078007. The reversal of 616078000 is 870616.

It is a self number, because there is not a number n which added to its sum of digits gives 616078000.

It is not an unprimeable number, because it can be changed into a prime (616078007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2713887 + ... + 2714113.

It is an arithmetic number, because the mean of its divisors is an integer number (9923472).

Almost surely, 2^616078000 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 616078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

616078000 is an abundant number, since it is smaller than the sum of its proper divisors (971677520).

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

616078000 is a wasteful number, since it uses less digits than its factorization.

616078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 616078000 is about 24820.9185970221. The cubic root of 616078000 is about 850.9000846055.

The spelling of 616078000 in words is "six hundred sixteen million, seventy-eight thousand".