60677760 has 384 divisors, whose sum is σ = 241911360. Its totient is φ = 12779520.

The previous prime is 60677753. The next prime is 60677761. The reversal of 60677760 is 6777606.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60677761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569272 + ... + 3569288.

Almost surely, 2^60677760 is an apocalyptic number.

60677760 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 60677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120955680).

60677760 is an abundant number, since it is smaller than the sum of its proper divisors (181233600).

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

60677760 is a wasteful number, since it uses less digits than its factorization.

60677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 60677760 is about 7789.5930574068. The cubic root of 60677760 is about 392.9553264554.

The spelling of 60677760 in words is "sixty million, six hundred seventy-seven thousand, seven hundred sixty".