76389120 has 216 divisors, whose sum is σ = 279006000. Its totient is φ = 19243008.

The previous prime is 76389107. The next prime is 76389151. The reversal of 76389120 is 2198367.

76389120 is a `hidden beast` number, since 7 + 638 + 9 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 218706 + ... + 219054.

It is a vampire number, since it can be written as 8376 ⋅ 9120 (with its own digits).

Almost surely, 2^76389120 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 76389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139503000).

76389120 is an abundant number, since it is smaller than the sum of its proper divisors (202616880).

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

76389120 is a wasteful number, since it uses less digits than its factorization.

76389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76389120 is about 8740.0869560892. The cubic root of 76389120 is about 424.3040420416.

The spelling of 76389120 in words is "seventy-six million, three hundred eighty-nine thousand, one hundred twenty".