77140 has 48 divisors (see below), whose sum is σ = 201600. Its totient is φ = 24192.

The previous prime is 77137. The next prime is 77141. The reversal of 77140 is 4177.

77140 = T₇₅ + T₇₆ + ... + T₉₅.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646 + ... + 2674.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁷⁷¹⁴⁰ is an apocalyptic number.

77140 is a gapful number since it is divisible by the number (70) 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 77140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

77140 is an abundant number, since it is smaller than the sum of its proper divisors (124460).

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

77140 is a wasteful number, since it uses less digits than its factorization.

77140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 77140 is about 277.7408864391. The cubic root of 77140 is about 42.5689768032.

The spelling of 77140 in words is "seventy-seven thousand, one hundred forty", and thus it is an iban number.