76898160 has 100 divisors (see below), whose sum is σ = 267101208. Its totient is φ = 20504448.

The previous prime is 76898141. The next prime is 76898161. The reversal of 76898160 is 6189867.

It is a happy number.

It is a super-2 number, since 2×76898160² = 11826654022771200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76898161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 547 + ... + 12413.

Almost surely, 2^76898160 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 76898160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133550604).

76898160 is an abundant number, since it is smaller than the sum of its proper divisors (190203048).

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

76898160 is a wasteful number, since it uses less digits than its factorization.

76898160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11892 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 76898160 is about 8769.1595948529. The cubic root of 76898160 is about 425.2444453050.

The spelling of 76898160 in words is "seventy-six million, eight hundred ninety-eight thousand, one hundred sixty".