76778480 has 40 divisors (see below), whose sum is σ = 180969072. Its totient is φ = 30288384.

The previous prime is 76778479. The next prime is 76778489. The reversal of 76778480 is 8487767.

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

It is a super-2 number, since 2×76778480² = 11789869982220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76778489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734 + ... + 12413.

Almost surely, 2^76778480 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 76778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90484536).

76778480 is an abundant number, since it is smaller than the sum of its proper divisors (104190592).

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

76778480 is a wasteful number, since it uses less digits than its factorization.

76778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13233 (or 13227 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 47.

The square root of 76778480 is about 8762.3330226601. Note that the first 3 decimals coincide. The cubic root of 76778480 is about 425.0237218593.

The spelling of 76778480 in words is "seventy-six million, seven hundred seventy-eight thousand, four hundred eighty".