7872364080 has 960 divisors, whose sum is σ = 34395798528. Its totient is φ = 1632337920.

The previous prime is 7872364079. The next prime is 7872364091. The reversal of 7872364080 is 804632787.

It is a happy number.

7872364080 is a `hidden beast` number, since 7 + 8 + 7 + 236 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94847719 + ... + 94847801.

Almost surely, 2^7872364080 is an apocalyptic number.

7872364080 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 7872364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197899264).

7872364080 is an abundant number, since it is smaller than the sum of its proper divisors (26523434448).

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

7872364080 is a wasteful number, since it uses less digits than its factorization.

7872364080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 7872364080 is about 88726.3437768062. The cubic root of 7872364080 is about 1989.3066008386.

The spelling of 7872364080 in words is "seven billion, eight hundred seventy-two million, three hundred sixty-four thousand, eighty".