61788400 has 60 divisors (see below), whose sum is σ = 149869872. Its totient is φ = 24478720.

The previous prime is 61788379. The next prime is 61788401. The reversal of 61788400 is 488716.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61788401) 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, 44517 + ... + 45883.

Almost surely, 2^61788400 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 61788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74934936).

61788400 is an abundant number, since it is smaller than the sum of its proper divisors (88081472).

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

61788400 is a wasteful number, since it uses less digits than its factorization.

61788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 61788400 is about 7860.5597765045. The cubic root of 61788400 is about 395.3383843914.

The spelling of 61788400 in words is "sixty-one million, seven hundred eighty-eight thousand, four hundred".