781088880 has 240 divisors, whose sum is σ = 2867628960. Its totient is φ = 174704640.

The previous prime is 781088857. The next prime is 781088887. The reversal of 781088880 is 88880187.

781088880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×781088880² = 1220199676919308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781088887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376486 + ... + 378554.

It is an arithmetic number, because the mean of its divisors is an integer number (11948454).

Almost surely, 2^781088880 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 781088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433814480).

781088880 is an abundant number, since it is smaller than the sum of its proper divisors (2086540080).

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

781088880 is a wasteful number, since it uses less digits than its factorization.

781088880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 48.

The square root of 781088880 is about 27947.9673679500. The cubic root of 781088880 is about 920.9445560505.

The spelling of 781088880 in words is "seven hundred eighty-one million, eighty-eight thousand, eight hundred eighty".