616780800 has 198 divisors, whose sum is σ = 2209191998. Its totient is φ = 164413440.

The previous prime is 616780783. The next prime is 616780817. The reversal of 616780800 is 8087616.

It is an interprime number because it is at equal distance from previous prime (616780783) and next prime (616780817).

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 613453824 = 1824^2 + 24768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229062 + ... + 231738.

Almost surely, 2^616780800 is an apocalyptic number.

616780800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104595999).

616780800 is an abundant number, since it is smaller than the sum of its proper divisors (1592411198).

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

616780800 is a wasteful number, since it uses less digits than its factorization.

616780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 616780800 is about 24835.0719749309. The cubic root of 616780800 is about 851.2235205591.

The spelling of 616780800 in words is "six hundred sixteen million, seven hundred eighty thousand, eight hundred".