76878072 has 80 divisors (see below), whose sum is σ = 222809400. Its totient is φ = 24736320.

The previous prime is 76878071. The next prime is 76878079. The reversal of 76878072 is 27087867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76878071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16747 + ... + 20837.

Almost surely, 2^76878072 is an apocalyptic number.

76878072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76878072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111404700).

76878072 is an abundant number, since it is smaller than the sum of its proper divisors (145931328).

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

76878072 is a wasteful number, since it uses less digits than its factorization.

76878072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 76878072 is about 8768.0141423244. The cubic root of 76878072 is about 425.2074134075.

The spelling of 76878072 in words is "seventy-six million, eight hundred seventy-eight thousand, seventy-two".