7780011355872 has 960 divisors, whose sum is σ = 29377231994880. Its totient is φ = 1966198800384.

The previous prime is 7780011355867. The next prime is 7780011355903. The reversal of 7780011355872 is 2785531100877.

7780011355872 is a `hidden beast` number, since 7 + 7 + 8 + 0 + 0 + 1 + 13 + 558 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 744279798 + ... + 744290250.

It is an arithmetic number, because the mean of its divisors is an integer number (30601283328).

Almost surely, 2^{7780011355872} is an apocalyptic number.

7780011355872 is a gapful number since it is divisible by the number (72) 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 7780011355872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688615997440).

7780011355872 is an abundant number, since it is smaller than the sum of its proper divisors (21597220639008).

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

7780011355872 is a wasteful number, since it uses less digits than its factorization.

7780011355872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10645 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 7780011355872 in words is "seven trillion, seven hundred eighty billion, eleven million, three hundred fifty-five thousand, eight hundred seventy-two".