780000101010000 has 3200 divisors, whose sum is σ = 3226010802094080. Its totient is φ = 178895692800000.

The previous prime is 780000101009971. The next prime is 780000101010017. The reversal of 780000101010000 is 10101000087.

It is a super-2 number, since 2×780000101010000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1180030409670 + ... + 1180030410330.

Almost surely, 2^{780000101010000} 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 780000101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613005401047040).

780000101010000 is an abundant number, since it is smaller than the sum of its proper divisors (2446010701084080).

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

780000101010000 is a wasteful number, since it uses less digits than its factorization.

780000101010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 780000101010000 its reverse (10101000087), we get a palindrome (780010202010087).

The spelling of 780000101010000 in words is "seven hundred eighty trillion, one hundred one million, ten thousand".