776712240 has 200 divisors, whose sum is σ = 2739430320. Its totient is φ = 203917824.

The previous prime is 776712217. The next prime is 776712247. The reversal of 776712240 is 42217677.

It is a happy number.

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 = 776712195 and 776712204.

It is not an unprimeable number, because it can be changed into a prime (776712247) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 433266 + ... + 435054.

Almost surely, 2^776712240 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 776712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369715160).

776712240 is an abundant number, since it is smaller than the sum of its proper divisors (1962718080).

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

776712240 is a wasteful number, since it uses less digits than its factorization.

776712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 776712240 is about 27869.5575852937. The cubic root of 776712240 is about 919.2212376390.

The spelling of 776712240 in words is "seven hundred seventy-six million, seven hundred twelve thousand, two hundred forty".