61007760 has 120 divisors (see below), whose sum is σ = 223539264. Its totient is φ = 14787840.

The previous prime is 61007731. The next prime is 61007761. The reversal of 61007760 is 6770016.

61007760 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 (120).

It is not an unprimeable number, because it can be changed into a prime (61007761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4069 + ... + 11771.

Almost surely, 2^61007760 is an apocalyptic number.

61007760 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 61007760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111769632).

61007760 is an abundant number, since it is smaller than the sum of its proper divisors (162531504).

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

61007760 is a wasteful number, since it uses less digits than its factorization.

61007760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 61007760 is about 7810.7464432025. The cubic root of 61007760 is about 393.6664100714. Note that the first 3 decimals are identical.

Adding to 61007760 its reverse (6770016), we get a palindrome (67777776).

The spelling of 61007760 in words is "sixty-one million, seven thousand, seven hundred sixty".