76078080 has 264 divisors, whose sum is σ = 286121472. Its totient is φ = 18579456.

The previous prime is 76078073. The next prime is 76078099. The reversal of 76078080 is 8087067.

It is a happy number.

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, 598977 + ... + 599103.

Almost surely, 2^76078080 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 76078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143060736).

76078080 is an abundant number, since it is smaller than the sum of its proper divisors (210043392).

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

76078080 is a wasteful number, since it uses less digits than its factorization.

76078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

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

The square root of 76078080 is about 8722.2749326079. The cubic root of 76078080 is about 423.7273671573.

The spelling of 76078080 in words is "seventy-six million, seventy-eight thousand, eighty".