7620813072 has 100 divisors (see below), whose sum is σ = 22092789840. Its totient is φ = 2536132032.

The previous prime is 7620813017. The next prime is 7620813089. The reversal of 7620813072 is 2703180267.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849603 + ... + 858525.

Almost surely, 2^7620813072 is an apocalyptic number.

7620813072 is a gapful number since it is divisible by the number (72) 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 7620813072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046394920).

7620813072 is an abundant number, since it is smaller than the sum of its proper divisors (14471976768).

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

7620813072 is a wasteful number, since it uses less digits than its factorization.

7620813072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9587 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7620813072 is about 87297.2684108730. The cubic root of 7620813072 is about 1967.8882670057. Note that the first 3 decimals are identical.

The spelling of 7620813072 in words is "seven billion, six hundred twenty million, eight hundred thirteen thousand, seventy-two".