738864720 has 320 divisors, whose sum is σ = 2810177280. Its totient is φ = 178421760.

The previous prime is 738864713. The next prime is 738864767. The reversal of 738864720 is 27468837.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2874832 + ... + 2875088.

It is an arithmetic number, because the mean of its divisors is an integer number (8781804).

Almost surely, 2^738864720 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 738864720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405088640).

738864720 is an abundant number, since it is smaller than the sum of its proper divisors (2071312560).

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

738864720 is a wasteful number, since it uses less digits than its factorization.

738864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 738864720 is about 27182.0661466343. The cubic root of 738864720 is about 904.0413808817.

It can be divided in two parts, 73886 and 4720, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 738864720 in words is "seven hundred thirty-eight million, eight hundred sixty-four thousand, seven hundred twenty".