76670880 has 192 divisors, whose sum is σ = 283989888. Its totient is φ = 17141760.

The previous prime is 76670879. The next prime is 76670887. The reversal of 76670880 is 8807667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76670887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68082 + ... + 69198.

It is an arithmetic number, because the mean of its divisors is an integer number (1479114).

Almost surely, 2^76670880 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 76670880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994944).

76670880 is an abundant number, since it is smaller than the sum of its proper divisors (207319008).

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

76670880 is a wasteful number, since it uses less digits than its factorization.

76670880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 76670880 is about 8756.1909526917. The cubic root of 76670880 is about 424.8250814206.

The spelling of 76670880 in words is "seventy-six million, six hundred seventy thousand, eight hundred eighty".