76178880 has 140 divisors (see below), whose sum is σ = 271073880. Its totient is φ = 20307456.

The previous prime is 76178863. The next prime is 76178881. The reversal of 76178880 is 8887167.

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 (76178881) 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, 24451 + ... + 27389.

It is an arithmetic number, because the mean of its divisors is an integer number (1936242).

Almost surely, 2^76178880 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 76178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135536940).

76178880 is an abundant number, since it is smaller than the sum of its proper divisors (194895000).

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

76178880 is a wasteful number, since it uses less digits than its factorization.

76178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 76178880 is about 8728.0513289050. The cubic root of 76178880 is about 423.9144244051.

The spelling of 76178880 in words is "seventy-six million, one hundred seventy-eight thousand, eight hundred eighty".