7620220800 has 240 divisors, whose sum is σ = 28121247000. Its totient is φ = 2031989760.

The previous prime is 7620220799. The next prime is 7620220801. The reversal of 7620220800 is 80220267.

It is an interprime number because it is at equal distance from previous prime (7620220799) and next prime (7620220801).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7620220801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 244501 + ... + 273899.

Almost surely, 2^7620220800 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 7620220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060623500).

7620220800 is an abundant number, since it is smaller than the sum of its proper divisors (20501026200).

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

7620220800 is a wasteful number, since it uses less digits than its factorization.

7620220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29435 (or 29409 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7620220800 is about 87293.8760738690. The cubic root of 7620220800 is about 1967.8372857738.

The spelling of 7620220800 in words is "seven billion, six hundred twenty million, two hundred twenty thousand, eight hundred".