7240396800 has 936 divisors, whose sum is σ = 30799601616. Its totient is φ = 1486356480.

The previous prime is 7240396799. The next prime is 7240396811. The reversal of 7240396800 is 86930427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 195686382 + ... + 195686418.

Almost surely, 2^7240396800 is an apocalyptic number.

7240396800 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 7240396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15399800808).

7240396800 is an abundant number, since it is smaller than the sum of its proper divisors (23559204816).

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

7240396800 is a wasteful number, since it uses less digits than its factorization.

7240396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7240396800 is about 85090.5212112372. The cubic root of 7240396800 is about 1934.5833955457.

The spelling of 7240396800 in words is "seven billion, two hundred forty million, three hundred ninety-six thousand, eight hundred".