76767460 has 96 divisors (see below), whose sum is σ = 203857920. Its totient is φ = 23587200.

The previous prime is 76767443. The next prime is 76767469. The reversal of 76767460 is 6476767.

It is not an unprimeable number, because it can be changed into a prime (76767469) 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 31 ways as a sum of consecutive naturals, for example, 121345 + ... + 121975.

It is an arithmetic number, because the mean of its divisors is an integer number (2123520).

Almost surely, 2^76767460 is an apocalyptic number.

76767460 is a gapful number since it is divisible by the number (70) 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 76767460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101928960).

76767460 is an abundant number, since it is smaller than the sum of its proper divisors (127090460).

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

76767460 is a wasteful number, since it uses less digits than its factorization.

76767460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 43.

The square root of 76767460 is about 8761.7041721346. The cubic root of 76767460 is about 425.0033863629.

The spelling of 76767460 in words is "seventy-six million, seven hundred sixty-seven thousand, four hundred sixty".