781303680 has 384 divisors, whose sum is σ = 2921443200. Its totient is φ = 191692800.

The previous prime is 781303637. The next prime is 781303681. The reversal of 781303680 is 86303187.

781303680 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 (384).

It is a super-2 number, since 2×781303680² = 1220870880763084800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781303681) 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, 7735630 + ... + 7735730.

It is an arithmetic number, because the mean of its divisors is an integer number (7607925).

Almost surely, 2^781303680 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 781303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460721600).

781303680 is an abundant number, since it is smaller than the sum of its proper divisors (2140139520).

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

781303680 is a wasteful number, since it uses less digits than its factorization.

781303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 781303680 is about 27951.8099592853. The cubic root of 781303680 is about 921.0289684501.

It can be divided in two parts, 78130 and 3680, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 781303680 in words is "seven hundred eighty-one million, three hundred three thousand, six hundred eighty".