76877680 has 80 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 27751680.

The previous prime is 76877677. The next prime is 76877683. The reversal of 76877680 is 8677867.

It is an interprime number because it is at equal distance from previous prime (76877677) and next prime (76877683).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76877683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174901 + ... + 175339.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 2^76877680 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 76877680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

76877680 is an abundant number, since it is smaller than the sum of its proper divisors (119538320).

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

76877680 is a wasteful number, since it uses less digits than its factorization.

76877680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The square root of 76877680 is about 8767.9917883173. The cubic root of 76877680 is about 425.2066906977.

The spelling of 76877680 in words is "seventy-six million, eight hundred seventy-seven thousand, six hundred eighty".