739978848 has 192 divisors, whose sum is σ = 2552256000. Its totient is φ = 204083712.

The previous prime is 739978831. The next prime is 739978879. The reversal of 739978848 is 848879937.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

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 31 ways as a sum of consecutive naturals, for example, 173283 + ... + 177501.

It is an arithmetic number, because the mean of its divisors is an integer number (13293000).

Almost surely, 2^739978848 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 739978848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276128000).

739978848 is an abundant number, since it is smaller than the sum of its proper divisors (1812277152).

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

739978848 is a wasteful number, since it uses less digits than its factorization.

739978848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4260 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 739978848 is about 27202.5522332005. The cubic root of 739978848 is about 904.4955515184.

The spelling of 739978848 in words is "seven hundred thirty-nine million, nine hundred seventy-eight thousand, eight hundred forty-eight".