781440480 has 192 divisors, whose sum is σ = 2787462720. Its totient is φ = 204392448.

The previous prime is 781440469. The next prime is 781440521. The reversal of 781440480 is 84044187.

It is a happy number.

It is a super-2 number, since 2×781440480² = 1221298447565260800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227254 + ... + 230666.

It is an arithmetic number, because the mean of its divisors is an integer number (14518035).

Almost surely, 2^781440480 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 781440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393731360).

781440480 is an abundant number, since it is smaller than the sum of its proper divisors (2006022240).

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

781440480 is a wasteful number, since it uses less digits than its factorization.

781440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 781440480 is about 27954.2569209056. The cubic root of 781440480 is about 921.0827202384.

The spelling of 781440480 in words is "seven hundred eighty-one million, four hundred forty thousand, four hundred eighty".