77751 has 12 divisors (see below), whose sum is σ = 115128. Its totient is φ = 50544.

The previous prime is 77747. The next prime is 77761. The reversal of 77751 is 15777.

Added to its reverse (15777) it gives a triangular number (93528 = T₄₃₂).

It is not a de Polignac number, because 77751 - 2² = 77747 is a prime.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (9594).

2⁷⁷⁷⁵¹ is an apocalyptic number.

77751 is a deficient number, since it is larger than the sum of its proper divisors (37377).

77751 is a wasteful number, since it uses less digits than its factorization.

77751 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its digits is 1715, while the sum is 27.

The square root of 77751 is about 278.8386630294. The cubic root of 77751 is about 42.6810728805.

Adding to 77751 its reverse (15777), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 7775 and 1, that added together give a 5-th power (7776 = 6⁵).

The spelling of 77751 in words is "seventy-seven thousand, seven hundred fifty-one".