7780097033856 has 384 divisors, whose sum is σ = 26486090467200. Its totient is φ = 2144817045504.

The previous prime is 7780097033851. The next prime is 7780097033893. The reversal of 7780097033856 is 6583307900877.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7780097033793 and 7780097033802.

It is not an unprimeable number, because it can be changed into a prime (7780097033851) 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, 382812111 + ... + 382832433.

It is an arithmetic number, because the mean of its divisors is an integer number (68974193925).

Almost surely, 2^{7780097033856} 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 7780097033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13243045233600).

7780097033856 is an abundant number, since it is smaller than the sum of its proper divisors (18705993433344).

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

7780097033856 is a wasteful number, since it uses less digits than its factorization.

7780097033856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22016 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 7780097033856 in words is "seven trillion, seven hundred eighty billion, ninety-seven million, thirty-three thousand, eight hundred fifty-six".