77478 has 16 divisors (see below), whose sum is σ = 159600. Its totient is φ = 25056.

The previous prime is 77477. The next prime is 77479. The reversal of 77478 is 87477.

77478 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (77477) and next prime (77479).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2⁷⁷⁴⁷⁸ is an apocalyptic number.

77478 is an abundant number, since it is smaller than the sum of its proper divisors (82122).

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 (79800).

77478 is a wasteful number, since it uses less digits than its factorization.

77478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 10976, while the sum is 33.

The square root of 77478 is about 278.3487021705. The cubic root of 77478 is about 42.6310602461.

Subtracting 77478 from its reverse (87477), we obtain a palindrome (9999).

It can be divided in two parts, 77 and 478, that added together give a palindrome (555).

The spelling of 77478 in words is "seventy-seven thousand, four hundred seventy-eight".