7303897440 has 768 divisors, whose sum is σ = 30847703040. Its totient is φ = 1579253760.

The previous prime is 7303897439. The next prime is 7303897463. The reversal of 7303897440 is 447983037.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53313052 + ... + 53313188.

It is an arithmetic number, because the mean of its divisors is an integer number (40166280).

Almost surely, 2^7303897440 is an apocalyptic number.

7303897440 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 7303897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423851520).

7303897440 is an abundant number, since it is smaller than the sum of its proper divisors (23543805600).

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

7303897440 is a wasteful number, since it uses less digits than its factorization.

7303897440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7303897440 is about 85462.8424521441. The cubic root of 7303897440 is about 1940.2225840193. Note that the first 3 decimals are identical.

The spelling of 7303897440 in words is "seven billion, three hundred three million, eight hundred ninety-seven thousand, four hundred forty".