774347040 has 240 divisors, whose sum is σ = 2758001400. Its totient is φ = 204595200.

The previous prime is 774347039. The next prime is 774347083. The reversal of 774347040 is 40743477.

It can be written as a sum of positive squares in 4 ways, for example, as 688747536 + 85599504 = 26244^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×774347040² = 1199226676713523200, which contains 22 as substring.

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 = 774346986 and 774347004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1930840 + ... + 1931240.

Almost surely, 2^774347040 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 774347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379000700).

774347040 is an abundant number, since it is smaller than the sum of its proper divisors (1983654360).

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

774347040 is a wasteful number, since it uses less digits than its factorization.

774347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 774347040 is about 27827.0918351164. The cubic root of 774347040 is about 918.2872355044.

The spelling of 774347040 in words is "seven hundred seventy-four million, three hundred forty-seven thousand, forty".