739742400 has 252 divisors, whose sum is σ = 2687616672. Its totient is φ = 192890880.

The previous prime is 739742387. The next prime is 739742401. The reversal of 739742400 is 4247937.

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

It is not an unprimeable number, because it can be changed into a prime (739742401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 676254 + ... + 677346.

Almost surely, 2^739742400 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 739742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343808336).

739742400 is an abundant number, since it is smaller than the sum of its proper divisors (1947874272).

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

739742400 is a wasteful number, since it uses less digits than its factorization.

739742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 739742400 is about 27198.2058231789. The cubic root of 739742400 is about 904.3992023917.

The spelling of 739742400 in words is "seven hundred thirty-nine million, seven hundred forty-two thousand, four hundred".