776085120 has 192 divisors, whose sum is σ = 2721270240. Its totient is φ = 203765760.

The previous prime is 776085083. The next prime is 776085131. The reversal of 776085120 is 21580677.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×776085120² = 1204616226970828800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384915 + ... + 386925.

Almost surely, 2^776085120 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 776085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360635120).

776085120 is an abundant number, since it is smaller than the sum of its proper divisors (1945185120).

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

776085120 is a wasteful number, since it uses less digits than its factorization.

776085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 776085120 is about 27858.3043274353. The cubic root of 776085120 is about 918.9737769501.

It can be divided in two parts, 77608 and 5120, that added together give a palindrome (82728).

The spelling of 776085120 in words is "seven hundred seventy-six million, eighty-five thousand, one hundred twenty".