77800220523774 has 288 divisors, whose sum is σ = 210737236226400. Its totient is φ = 20609004810240.

The previous prime is 77800220523737. The next prime is 77800220523793. The reversal of 77800220523774 is 47732502200877.

It is a self number, because there is not a number n which added to its sum of digits gives 77800220523774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 358862989 + ... + 359079719.

It is an arithmetic number, because the mean of its divisors is an integer number (731726514675).

Almost surely, 2^{77800220523774} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77800220523774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105368618113200).

77800220523774 is an abundant number, since it is smaller than the sum of its proper divisors (132937015702626).

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

77800220523774 is a wasteful number, since it uses less digits than its factorization.

77800220523774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217128 (or 217118 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 54.

The spelling of 77800220523774 in words is "seventy-seven trillion, eight hundred billion, two hundred twenty million, five hundred twenty-three thousand, seven hundred seventy-four".