738077040 has 240 divisors, whose sum is σ = 2633105280. Its totient is φ = 184757760.

The previous prime is 738077033. The next prime is 738077063. The reversal of 738077040 is 40770837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 738076986 and 738077004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2229675 + ... + 2230005.

It is an arithmetic number, because the mean of its divisors is an integer number (10971272).

Almost surely, 2^738077040 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 738077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316552640).

738077040 is an abundant number, since it is smaller than the sum of its proper divisors (1895028240).

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

738077040 is a wasteful number, since it uses less digits than its factorization.

738077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

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

The square root of 738077040 is about 27167.5733182042. The cubic root of 738077040 is about 903.7200101387.

The spelling of 738077040 in words is "seven hundred thirty-eight million, seventy-seven thousand, forty".