61300800 has 420 divisors, whose sum is σ = 251527056. Its totient is φ = 14515200.

The previous prime is 61300777. The next prime is 61300873. The reversal of 61300800 is 800316.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425579 + ... + 1425621.

Almost surely, 2^61300800 is an apocalyptic number.

61300800 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 61300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125763528).

61300800 is an abundant number, since it is smaller than the sum of its proper divisors (190226256).

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

61300800 is a wasteful number, since it uses less digits than its factorization.

61300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61300800 is about 7829.4827415354. The cubic root of 61300800 is about 394.2957059310.

The spelling of 61300800 in words is "sixty-one million, three hundred thousand, eight hundred".