775678464 has 160 divisors (see below), whose sum is σ = 2505286080. Its totient is φ = 235008000.

The previous prime is 775678441. The next prime is 775678469. The reversal of 775678464 is 464876577.

775678464 is a `hidden beast` number, since 77 + 567 + 8 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 775678464.

It is not an unprimeable number, because it can be changed into a prime (775678469) 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, 149514 + ... + 154614.

It is an arithmetic number, because the mean of its divisors is an integer number (15658038).

Almost surely, 2^775678464 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 775678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252643040).

775678464 is an abundant number, since it is smaller than the sum of its proper divisors (1729607616).

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

775678464 is a wasteful number, since it uses less digits than its factorization.

775678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5117 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 775678464 is about 27851.0047215536. The cubic root of 775678464 is about 918.8132397952.

The spelling of 775678464 in words is "seven hundred seventy-five million, six hundred seventy-eight thousand, four hundred sixty-four".