775106640 has 720 divisors, whose sum is σ = 3457778688. Its totient is φ = 152064000.

The previous prime is 775106639. The next prime is 775106641. The reversal of 775106640 is 46601577.

775106640 is a `hidden beast` number, since 7 + 7 + 5 + 1 + 0 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (775106639) and next prime (775106641).

It is a tau number, because it is divible by the number of its divisors (720).

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 = 775106595 and 775106604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (775106641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18905020 + ... + 18905060.

Almost surely, 2^775106640 is an apocalyptic number.

775106640 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 775106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

775106640 is an abundant number, since it is smaller than the sum of its proper divisors (2682672048).

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

775106640 is a wasteful number, since it uses less digits than its factorization.

775106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

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

The square root of 775106640 is about 27840.7370592088. The cubic root of 775106640 is about 918.5874036848.

The spelling of 775106640 in words is "seven hundred seventy-five million, one hundred six thousand, six hundred forty".