776164900 has 216 divisors, whose sum is σ = 2094615936. Its totient is φ = 248371200.

The previous prime is 776164897. The next prime is 776164919. The reversal of 776164900 is 9461677.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8001652 + ... + 8001748.

It is an arithmetic number, because the mean of its divisors is an integer number (9697296).

Almost surely, 2^776164900 is an apocalyptic number.

776164900 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 776164900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047307968).

776164900 is an abundant number, since it is smaller than the sum of its proper divisors (1318451036).

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

776164900 is a wasteful number, since it uses less digits than its factorization.

776164900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 776164900 is about 27859.7361796554. The cubic root of 776164900 is about 919.0052654273.

The spelling of 776164900 in words is "seven hundred seventy-six million, one hundred sixty-four thousand, nine hundred".