61778160 has 160 divisors (see below), whose sum is σ = 218825280. Its totient is φ = 16008192.

The previous prime is 61778113. The next prime is 61778173. The reversal of 61778160 is 6187716.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79534 + ... + 80306.

It is an arithmetic number, because the mean of its divisors is an integer number (1367658).

Almost surely, 2^61778160 is an apocalyptic number.

61778160 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 61778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109412640).

61778160 is an abundant number, since it is smaller than the sum of its proper divisors (157047120).

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

61778160 is a wasteful number, since it uses less digits than its factorization.

61778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 61778160 is about 7859.9083964128. The cubic root of 61778160 is about 395.3165437832.

The spelling of 61778160 in words is "sixty-one million, seven hundred seventy-eight thousand, one hundred sixty".