7776838807920 has 2400 divisors, whose sum is σ = 35695459987200. Its totient is φ = 1551139559424.

The previous prime is 7776838807897. The next prime is 7776838807949. The reversal of 7776838807920 is 297088386777.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16652759527 + ... + 16652759993.

It is an arithmetic number, because the mean of its divisors is an integer number (14873108328).

Almost surely, 2^{7776838807920} is an apocalyptic number.

7776838807920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7776838807920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847729993600).

7776838807920 is an abundant number, since it is smaller than the sum of its proper divisors (27918621179280).

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

7776838807920 is a wasteful number, since it uses less digits than its factorization.

7776838807920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 7776838807920 in words is "seven trillion, seven hundred seventy-six billion, eight hundred thirty-eight million, eight hundred seven thousand, nine hundred twenty".