7801148160 has 324 divisors, whose sum is σ = 29234408112. Its totient is φ = 1919803392.

The previous prime is 7801148153. The next prime is 7801148167. The reversal of 7801148160 is 618411087.

It is an interprime number because it is at equal distance from previous prime (7801148153) and next prime (7801148167).

It is a super-2 number, since 2×7801148160² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7801148167) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1944877 + ... + 1948883.

Almost surely, 2^7801148160 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 7801148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617204056).

7801148160 is an abundant number, since it is smaller than the sum of its proper divisors (21433259952).

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

7801148160 is a wasteful number, since it uses less digits than its factorization.

7801148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 7801148160 is about 88324.1086000872. The cubic root of 7801148160 is about 1983.2897865510.

It can be divided in two parts, 7801 and 148160, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 7801148160 in words is "seven billion, eight hundred one million, one hundred forty-eight thousand, one hundred sixty".