61077600 has 216 divisors, whose sum is σ = 228501000. Its totient is φ = 15298560.

The previous prime is 61077589. The next prime is 61077607. The reversal of 61077600 is 677016.

61077600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61077607) 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 35 ways as a sum of consecutive naturals, for example, 122151 + ... + 122649.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875).

Almost surely, 2^61077600 is an apocalyptic number.

61077600 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 61077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

61077600 is an abundant number, since it is smaller than the sum of its proper divisors (167423400).

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

61077600 is a wasteful number, since it uses less digits than its factorization.

61077600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

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

The square root of 61077600 is about 7815.2159279191. The cubic root of 61077600 is about 393.8165722661.

It can be divided in two parts, 610 and 77600, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 61077600 in words is "sixty-one million, seventy-seven thousand, six hundred".