7940620800 has 720 divisors, whose sum is σ = 33377298240. Its totient is φ = 1765048320.

The previous prime is 7940620789. The next prime is 7940620817. The reversal of 7940620800 is 80260497.

It is a tau number, because it is divible by the number of its divisors (720).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34675086 + ... + 34675314.

Almost surely, 2^7940620800 is an apocalyptic number.

7940620800 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 7940620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688649120).

7940620800 is an abundant number, since it is smaller than the sum of its proper divisors (25436677440).

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

7940620800 is a wasteful number, since it uses less digits than its factorization.

7940620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7940620800 is about 89110.1610367751. The cubic root of 7940620800 is about 1995.0394399273.

The spelling of 7940620800 in words is "seven billion, nine hundred forty million, six hundred twenty thousand, eight hundred".