77240 has 16 divisors (see below), whose sum is σ = 173880. Its totient is φ = 30880.

The previous prime is 77239. The next prime is 77243. The reversal of 77240 is 4277.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 926 + ... + 1005.

2⁷⁷²⁴⁰ is an apocalyptic number.

It is an amenable number.

77240 is an abundant number, since it is smaller than the sum of its proper divisors (96640).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86940).

77240 is a wasteful number, since it uses less digits than its factorization.

77240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 77240 is about 277.9208520424. The cubic root of 77240 is about 42.5873635439.

The spelling of 77240 in words is "seventy-seven thousand, two hundred forty", and thus it is an iban number.