771122880000 has 1200 divisors, whose sum is σ = 3076570019952. Its totient is φ = 184320000000.

The previous prime is 771122879963. The next prime is 771122880007. The reversal of 771122880000 is 88221177.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771122880007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3199679880 + ... + 3199680120.

Almost surely, 2^771122880000 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 771122880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538285009976).

771122880000 is an abundant number, since it is smaller than the sum of its proper divisors (2305447139952).

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

771122880000 is a wasteful number, since it uses less digits than its factorization.

771122880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 771122880000 in words is "seven hundred seventy-one billion, one hundred twenty-two million, eight hundred eighty thousand".