776086920 has 320 divisors, whose sum is σ = 3139804800. Its totient is φ = 167961600.

The previous prime is 776086849. The next prime is 776086933. The reversal of 776086920 is 29680677.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 430020 + ... + 431820.

It is an arithmetic number, because the mean of its divisors is an integer number (9811890).

Almost surely, 2^776086920 is an apocalyptic number.

776086920 is a gapful number since it is divisible by the number (70) 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 776086920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569902400).

776086920 is an abundant number, since it is smaller than the sum of its proper divisors (2363717880).

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

776086920 is a wasteful number, since it uses less digits than its factorization.

776086920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 776086920 is about 27858.3366337619. The cubic root of 776086920 is about 918.9744874183.

The spelling of 776086920 in words is "seven hundred seventy-six million, eighty-six thousand, nine hundred twenty".