7900869600 has 720 divisors, whose sum is σ = 31681066032. Its totient is φ = 1904394240.

The previous prime is 7900869593. The next prime is 7900869607. The reversal of 7900869600 is 69680097.

It is an interprime number because it is at equal distance from previous prime (7900869593) and next prime (7900869607).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7900869607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 69919144 + ... + 69919256.

Almost surely, 2^7900869600 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 7900869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840533016).

7900869600 is an abundant number, since it is smaller than the sum of its proper divisors (23780196432).

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

7900869600 is a wasteful number, since it uses less digits than its factorization.

7900869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7900869600 is about 88886.8359207369. The cubic root of 7900869600 is about 1991.7047755255.

The spelling of 7900869600 in words is "seven billion, nine hundred million, eight hundred sixty-nine thousand, six hundred".