774120672 has 192 divisors, whose sum is σ = 2492320320. Its totient is φ = 232381440.

The previous prime is 774120671. The next prime is 774120673. The reversal of 774120672 is 276021477.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (774120671) and next prime (774120673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (774120671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18880972 + ... + 18881012.

It is an arithmetic number, because the mean of its divisors is an integer number (12980835).

Almost surely, 2^774120672 is an apocalyptic number.

774120672 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 774120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246160160).

774120672 is an abundant number, since it is smaller than the sum of its proper divisors (1718199648).

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

774120672 is an equidigital number, since it uses as much as digits as its factorization.

774120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 774120672 is about 27823.0241346982. The cubic root of 774120672 is about 918.1977445770.

It can be divided in two parts, 774120 and 672, that multiplied together give a triangular number (520208640 = T₃₂₂₅₅).

The spelling of 774120672 in words is "seven hundred seventy-four million, one hundred twenty thousand, six hundred seventy-two".