775290861072 has 1200 divisors, whose sum is σ = 2904764797440. Its totient is φ = 195292311552.

The previous prime is 775290861043. The next prime is 775290861083. The reversal of 775290861072 is 270168092577.

It is a happy number.

775290861072 is a `hidden beast` number, since 7 + 7 + 529 + 0 + 8 + 6 + 107 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4481449978 + ... + 4481450150.

Almost surely, 2^775290861072 is an apocalyptic number.

775290861072 is a gapful number since it is divisible by the number (72) 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 775290861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452382398720).

775290861072 is an abundant number, since it is smaller than the sum of its proper divisors (2129473936368).

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

775290861072 is a wasteful number, since it uses less digits than its factorization.

775290861072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 775290861072 in words is "seven hundred seventy-five billion, two hundred ninety million, eight hundred sixty-one thousand, seventy-two".