781478016000 has 880 divisors, whose sum is σ = 2879991441600. Its totient is φ = 188086272000.

The previous prime is 781478015993. The next prime is 781478016103. The reversal of 781478016000 is 610874187.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×781478016000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5622143931 + ... + 5622144069.

Almost surely, 2^781478016000 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 781478016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439995720800).

781478016000 is an abundant number, since it is smaller than the sum of its proper divisors (2098513425600).

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

781478016000 is an equidigital number, since it uses as much as digits as its factorization.

781478016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 781478016000 in words is "seven hundred eighty-one billion, four hundred seventy-eight million, sixteen thousand".