7408162080 has 864 divisors, whose sum is σ = 30633758064. Its totient is φ = 1622016000.

The previous prime is 7408162067. The next prime is 7408162093. The reversal of 7408162080 is 802618047.

It is an interprime number because it is at equal distance from previous prime (7408162067) and next prime (7408162093).

It can be written as a sum of positive squares in 8 ways, for example, as 558282384 + 6849879696 = 23628^2 + 82764^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121445250 + ... + 121445310.

Almost surely, 2^7408162080 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 7408162080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316879032).

7408162080 is an abundant number, since it is smaller than the sum of its proper divisors (23225595984).

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

7408162080 is a wasteful number, since it uses less digits than its factorization.

7408162080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7408162080 is about 86070.6807222994. The cubic root of 7408162080 is about 1949.4113568419.

It can be divided in two parts, 74081 and 62080, that added together give a square (136161 = 369²).

The spelling of 7408162080 in words is "seven billion, four hundred eight million, one hundred sixty-two thousand, eighty".