77250 has 32 divisors (see below), whose sum is σ = 194688. Its totient is φ = 20400.

The previous prime is 77249. The next prime is 77261. The reversal of 77250 is 5277.

It is a Curzon number.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

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, 699 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (6084).

2⁷⁷²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344).

77250 is an abundant number, since it is smaller than the sum of its proper divisors (117438).

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

77250 is a wasteful number, since it uses less digits than its factorization.

77250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 77250 is about 277.9388421937. The cubic root of 77250 is about 42.5892013450.

The spelling of 77250 in words is "seventy-seven thousand, two hundred fifty".