775355920 has 80 divisors (see below), whose sum is σ = 1866474288. Its totient is φ = 299335680.

The previous prime is 775355909. The next prime is 775355927. The reversal of 775355920 is 29553577.

It can be written as a sum of positive squares in 8 ways, for example, as 8952064 + 766403856 = 2992^2 + 27684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (775355927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316942 + ... + 319378.

Almost surely, 2^775355920 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 775355920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933237144).

775355920 is an abundant number, since it is smaller than the sum of its proper divisors (1091118368).

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

775355920 is a wasteful number, since it uses less digits than its factorization.

775355920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 43.

The square root of 775355920 is about 27845.2135922855. The cubic root of 775355920 is about 918.6858679532.

It can be divided in two parts, 7 and 75355920, that multiplied together give a triangular number (527491440 = T₃₂₄₈₀).

The spelling of 775355920 in words is "seven hundred seventy-five million, three hundred fifty-five thousand, nine hundred twenty".