738078480 has 120 divisors (see below), whose sum is σ = 2570585472. Its totient is φ = 196815744.

The previous prime is 738078461. The next prime is 738078491. The reversal of 738078480 is 84870837.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×738078480² = 1089519685278220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 457 + ... + 38423.

Almost surely, 2^738078480 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 738078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285292736).

738078480 is an abundant number, since it is smaller than the sum of its proper divisors (1832506992).

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

738078480 is a wasteful number, since it uses less digits than its factorization.

738078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37995 (or 37977 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 738078480 is about 27167.5998203743. The cubic root of 738078480 is about 903.7205978623.

The spelling of 738078480 in words is "seven hundred thirty-eight million, seventy-eight thousand, four hundred eighty".