776531340 has 288 divisors, whose sum is σ = 2675957760. Its totient is φ = 186810624.

The previous prime is 776531339. The next prime is 776531363. The reversal of 776531340 is 43135677.

776531340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 776531295 and 776531304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6114357 + ... + 6114483.

It is an arithmetic number, because the mean of its divisors is an integer number (9291520).

Almost surely, 2^776531340 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 776531340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337978880).

776531340 is an abundant number, since it is smaller than the sum of its proper divisors (1899426420).

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

776531340 is a wasteful number, since it uses less digits than its factorization.

776531340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 776531340 is about 27866.3119195921. The cubic root of 776531340 is about 919.1498684219.

The spelling of 776531340 in words is "seven hundred seventy-six million, five hundred thirty-one thousand, three hundred forty".