740625600 has 504 divisors, whose sum is σ = 2904939072. Its totient is φ = 163737600.

The previous prime is 740625581. The next prime is 740625601. The reversal of 740625600 is 6526047.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (740625601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8923159 + ... + 8923241.

It is an arithmetic number, because the mean of its divisors is an integer number (5763768).

Almost surely, 2^740625600 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 740625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452469536).

740625600 is an abundant number, since it is smaller than the sum of its proper divisors (2164313472).

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

740625600 is a wasteful number, since it uses less digits than its factorization.

740625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 740625600 is about 27214.4373449094. The cubic root of 740625600 is about 904.7589887608.

The spelling of 740625600 in words is "seven hundred forty million, six hundred twenty-five thousand, six hundred".