774004000000 has 756 divisors, whose sum is σ = 2457559167840. Its totient is φ = 240576000000.

The previous prime is 774003999983. The next prime is 774004000009. The reversal of 774004000000 is 400477.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (774004000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2155999821 + ... + 2156000179.

It is an arithmetic number, because the mean of its divisors is an integer number (3250739640).

Almost surely, 2^774004000000 is an apocalyptic number.

774004000000 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 774004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228779583920).

774004000000 is an abundant number, since it is smaller than the sum of its proper divisors (1683555167840).

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

774004000000 is an frugal number, since it uses more digits than its factorization.

774004000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

Adding to 774004000000 its reverse (400477), we get a palindrome (774004400477).

The spelling of 774004000000 in words is "seven hundred seventy-four billion, four million", and thus it is an aban number.