775428480 has 192 divisors, whose sum is σ = 2835518400. Its totient is φ = 194592768.

The previous prime is 775428473. The next prime is 775428527. The reversal of 775428480 is 84824577.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×775428480² = 1202578655190220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93961 + ... + 101879.

It is an arithmetic number, because the mean of its divisors is an integer number (14768325).

Almost surely, 2^775428480 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 775428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417759200).

775428480 is an abundant number, since it is smaller than the sum of its proper divisors (2060089920).

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

775428480 is a wasteful number, since it uses less digits than its factorization.

775428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 775428480 is about 27846.5164787267. The cubic root of 775428480 is about 918.7145247999.

The spelling of 775428480 in words is "seven hundred seventy-five million, four hundred twenty-eight thousand, four hundred eighty".