7901601792 has 224 divisors, whose sum is σ = 25139123712. Its totient is φ = 2158362624.

The previous prime is 7901601761. The next prime is 7901601821. The reversal of 7901601792 is 2971061097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7901601792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3955738 + ... + 3957734.

Almost surely, 2^7901601792 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 7901601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12569561856).

7901601792 is an abundant number, since it is smaller than the sum of its proper divisors (17237521920).

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

7901601792 is a wasteful number, since it uses less digits than its factorization.

7901601792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The square root of 7901601792 is about 88890.9545004440. The cubic root of 7901601792 is about 1991.7662989329.

The spelling of 7901601792 in words is "seven billion, nine hundred one million, six hundred one thousand, seven hundred ninety-two".