75677760 has 224 divisors, whose sum is σ = 281635200. Its totient is φ = 19077120.

The previous prime is 75677753. The next prime is 75677827. The reversal of 75677760 is 6777657.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 163930 + ... + 164390.

It is an arithmetic number, because the mean of its divisors is an integer number (1257300).

Almost surely, 2^75677760 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 75677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140817600).

75677760 is an abundant number, since it is smaller than the sum of its proper divisors (205957440).

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

75677760 is a wasteful number, since it uses less digits than its factorization.

75677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The square root of 75677760 is about 8699.2965232828. The cubic root of 75677760 is about 422.9828472497.

The spelling of 75677760 in words is "seventy-five million, six hundred seventy-seven thousand, seven hundred sixty".