76784880 has 40 divisors (see below), whose sum is σ = 238033872. Its totient is φ = 20475904.

The previous prime is 76784821. The next prime is 76784891. The reversal of 76784880 is 8848767.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×76784880³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159729 + ... + 160208.

Almost surely, 2^76784880 is an apocalyptic number.

It is an amenable number.

76784880 is an abundant number, since it is smaller than the sum of its proper divisors (161248992).

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

76784880 is a wasteful number, since it uses less digits than its factorization.

76784880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319953 (or 319947 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 76784880 is about 8762.6982145912. The cubic root of 76784880 is about 425.0355310548.

The spelling of 76784880 in words is "seventy-six million, seven hundred eighty-four thousand, eight hundred eighty".