77400 has 72 divisors (see below), whose sum is σ = 265980. Its totient is φ = 20160.

The previous prime is 77383. The next prime is 77417. The reversal of 77400 is 477.

It is an interprime number because it is at equal distance from previous prime (77383) and next prime (77417).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

77400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1779 + ... + 1821.

2⁷⁷⁴⁰⁰ 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 77400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132990).

77400 is an abundant number, since it is smaller than the sum of its proper divisors (188580).

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

77400 is a wasteful number, since it uses less digits than its factorization.

77400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 77400 is about 278.2085548649. The cubic root of 77400 is about 42.6167493483.

Adding to 77400 its reverse (477), we get a palindrome (77877).

The spelling of 77400 in words is "seventy-seven thousand, four hundred", and thus it is an iban number.