76142880 has 432 divisors, whose sum is σ = 313709760. Its totient is φ = 16727040.

The previous prime is 76142879. The next prime is 76142917. The reversal of 76142880 is 8824167.

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 71 ways as a sum of consecutive naturals, for example, 3310549 + ... + 3310571.

It is an arithmetic number, because the mean of its divisors is an integer number (726180).

Almost surely, 2^76142880 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 76142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

76142880 is an abundant number, since it is smaller than the sum of its proper divisors (237566880).

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

76142880 is a wasteful number, since it uses less digits than its factorization.

76142880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 76142880 is about 8725.9887691883. The cubic root of 76142880 is about 423.8476371981.

The spelling of 76142880 in words is "seventy-six million, one hundred forty-two thousand, eight hundred eighty".