61077500 has 60 divisors (see below), whose sum is σ = 145772088. Its totient is φ = 22200000.

The previous prime is 61077493. The next prime is 61077503. The reversal of 61077500 is 577016.

It is a super-2 number, since 2×61077500² = 7460922012500000, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 61077500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61077503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26390 + ... + 28610.

Almost surely, 2^61077500 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 61077500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72886044).

61077500 is an abundant number, since it is smaller than the sum of its proper divisors (84694588).

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

61077500 is a wasteful number, since it uses less digits than its factorization.

61077500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The square root of 61077500 is about 7815.2095301406. The cubic root of 61077500 is about 393.8163573391.

The spelling of 61077500 in words is "sixty-one million, seventy-seven thousand, five hundred".