76779472 has 120 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 28788480.

The previous prime is 76779433. The next prime is 76779481. The reversal of 76779472 is 27497767.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 249943 + ... + 250249.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 2^76779472 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 76779472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

76779472 is an abundant number, since it is smaller than the sum of its proper divisors (119145488).

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

76779472 is a wasteful number, since it uses less digits than its factorization.

76779472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 356 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 49.

The square root of 76779472 is about 8762.3896284062. The cubic root of 76779472 is about 425.0255523276.

The spelling of 76779472 in words is "seventy-six million, seven hundred seventy-nine thousand, four hundred seventy-two".