76551680 has 80 divisors (see below), whose sum is σ = 194451840. Its totient is φ = 28803072.

The previous prime is 76551667. The next prime is 76551689. The reversal of 76551680 is 8615567.

It is a happy number.

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 (76551689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42641 + ... + 44399.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^76551680 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 76551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97225920).

76551680 is an abundant number, since it is smaller than the sum of its proper divisors (117900160).

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

76551680 is a wasteful number, since it uses less digits than its factorization.

76551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 76551680 is about 8749.3816924398. The cubic root of 76551680 is about 424.6048091119.

The spelling of 76551680 in words is "seventy-six million, five hundred fifty-one thousand, six hundred eighty".