776270545050 has 384 divisors, whose sum is σ = 2606241189888. Its totient is φ = 148891564800.

The previous prime is 776270545009. The next prime is 776270545051. The reversal of 776270545050 is 50545072677.

It is a super-3 number, since 3×776270545050³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (776270545051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18146787 + ... + 18189513.

It is an arithmetic number, because the mean of its divisors is an integer number (6787086432).

Almost surely, 2^776270545050 is an apocalyptic number.

776270545050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 776270545050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303120594944).

776270545050 is an abundant number, since it is smaller than the sum of its proper divisors (1829970644838).

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

776270545050 is a wasteful number, since it uses less digits than its factorization.

776270545050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42795 (or 42768 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 776270545050 in words is "seven hundred seventy-six billion, two hundred seventy million, five hundred forty-five thousand, fifty".