775661040 has 480 divisors, whose sum is σ = 3442922496. Its totient is φ = 151511040.

The previous prime is 775661027. The next prime is 775661063. The reversal of 775661040 is 40166577.

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 = 775660986 and 775661004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 942069 + ... + 942891.

Almost surely, 2^775661040 is an apocalyptic number.

775661040 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 775661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721461248).

775661040 is an abundant number, since it is smaller than the sum of its proper divisors (2667261456).

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

775661040 is a wasteful number, since it uses less digits than its factorization.

775661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 775661040 is about 27850.6919124104. The cubic root of 775661040 is about 918.8063600022.

It can be divided in two parts, 77566 and 1040, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 775661040 in words is "seven hundred seventy-five million, six hundred sixty-one thousand, forty".