61877760 has 160 divisors (see below), whose sum is σ = 226271232. Its totient is φ = 14131200.

The previous prime is 61877759. The next prime is 61877789. The reversal of 61877760 is 6777816.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53185 + ... + 54335.

Almost surely, 2^61877760 is an apocalyptic number.

61877760 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 61877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616).

61877760 is an abundant number, since it is smaller than the sum of its proper divisors (164393472).

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

61877760 is a wasteful number, since it uses less digits than its factorization.

61877760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 61877760 is about 7866.2417964362. The cubic root of 61877760 is about 395.5288754934.

The spelling of 61877760 in words is "sixty-one million, eight hundred seventy-seven thousand, seven hundred sixty".