76780080 has 180 divisors, whose sum is σ = 279656208. Its totient is φ = 18869760.

The previous prime is 76780079. The next prime is 76780091. The reversal of 76780080 is 8008767.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×76780080³ (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121365 + ... + 121995.

Almost surely, 2^76780080 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 76780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139828104).

76780080 is an abundant number, since it is smaller than the sum of its proper divisors (202876128).

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

76780080 is a wasteful number, since it uses less digits than its factorization.

76780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 76780080 is about 8762.4243220698. The cubic root of 76780080 is about 425.0266742197.

The spelling of 76780080 in words is "seventy-six million, seven hundred eighty thousand, eighty".