61788000 has 192 divisors, whose sum is σ = 213857280. Its totient is φ = 15552000.

The previous prime is 61787993. The next prime is 61788011. The reversal of 61788000 is 88716.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227865 + ... + 228135.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 2^61788000 is an apocalyptic number.

61788000 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 61788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

61788000 is an abundant number, since it is smaller than the sum of its proper divisors (152069280).

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

61788000 is a wasteful number, since it uses less digits than its factorization.

61788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 61788000 is about 7860.5343329827. The cubic root of 61788000 is about 395.3375312880.

The spelling of 61788000 in words is "sixty-one million, seven hundred eighty-eight thousand".