738920000 has 420 divisors, whose sum is σ = 2374536780. Its totient is φ = 225792000.

The previous prime is 738919991. The next prime is 738920009. The reversal of 738920000 is 29837.

It is an interprime number because it is at equal distance from previous prime (738919991) and next prime (738920009).

It can be written as a sum of positive squares in 10 ways, for example, as 666465856 + 72454144 = 25816^2 + 8512^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (738920009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25479986 + ... + 25480014.

It is an arithmetic number, because the mean of its divisors is an integer number (5653659).

Almost surely, 2^738920000 is an apocalyptic number.

738920000 is a gapful number since it is divisible by the number (70) 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 738920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187268390).

738920000 is an abundant number, since it is smaller than the sum of its proper divisors (1635616780).

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

738920000 is a wasteful number, since it uses less digits than its factorization.

738920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 738920000 is about 27183.0829745266. The cubic root of 738920000 is about 904.0639263536.

Adding to 738920000 its reverse (29837), we get a palindrome (738949837).

The spelling of 738920000 in words is "seven hundred thirty-eight million, nine hundred twenty thousand".