61780320 has 288 divisors, whose sum is σ = 250967808. Its totient is φ = 14059008.

The previous prime is 61780319. The next prime is 61780331. The reversal of 61780320 is 2308716.

61780320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 272047 + ... + 272273.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^61780320 is an apocalyptic number.

61780320 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 61780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

61780320 is an abundant number, since it is smaller than the sum of its proper divisors (189187488).

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

61780320 is a wasteful number, since it uses less digits than its factorization.

61780320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61780320 is about 7860.0458013933. The cubic root of 61780320 is about 395.3211509873.

The spelling of 61780320 in words is "sixty-one million, seven hundred eighty thousand, three hundred twenty".