780014961000 has 2048 divisors, whose sum is σ = 3377147904000. Its totient is φ = 164063232000.

The previous prime is 780014960999. The next prime is 780014961031. The reversal of 780014961000 is 169410087.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4508756914 + ... + 4508757086.

It is an arithmetic number, because the mean of its divisors is an integer number (1648998000).

Almost surely, 2^780014961000 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 780014961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688573952000).

780014961000 is an abundant number, since it is smaller than the sum of its proper divisors (2597132943000).

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

780014961000 is a wasteful number, since it uses less digits than its factorization.

780014961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 780014961000 in words is "seven hundred eighty billion, fourteen million, nine hundred sixty-one thousand".