746778312 has 192 divisors, whose sum is σ = 2519856000. Its totient is φ = 200696832.

The previous prime is 746778311. The next prime is 746778323. The reversal of 746778312 is 213877647.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (746778311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436114 + ... + 437822.

It is an arithmetic number, because the mean of its divisors is an integer number (13124250).

Almost surely, 2^746778312 is an apocalyptic number.

746778312 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 746778312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259928000).

746778312 is an abundant number, since it is smaller than the sum of its proper divisors (1773077688).

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

746778312 is a wasteful number, since it uses less digits than its factorization.

746778312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1738 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 746778312 is about 27327.2448666162. The cubic root of 746778312 is about 907.2574968458.

The spelling of 746778312 in words is "seven hundred forty-six million, seven hundred seventy-eight thousand, three hundred twelve".