778540 has 48 divisors (see below), whose sum is σ = 1919232. Its totient is φ = 259776.

The previous prime is 778537. The next prime is 778541. The reversal of 778540 is 45877.

It is a happy number.

778540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×778540² = 1212249063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778541) 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, 9339 + ... + 9421.

It is an arithmetic number, because the mean of its divisors is an integer number (39984).

2⁷⁷⁸⁵⁴⁰ is an apocalyptic number.

778540 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 778540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959616).

778540 is an abundant number, since it is smaller than the sum of its proper divisors (1140692).

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

778540 is a wasteful number, since it uses less digits than its factorization.

778540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 778540 is about 882.3491372467. The cubic root of 778540 is about 91.9941710233.

The spelling of 778540 in words is "seven hundred seventy-eight thousand, five hundred forty".