76662720 has 224 divisors, whose sum is σ = 285292800. Its totient is φ = 19325952.

The previous prime is 76662713. The next prime is 76662757. The reversal of 76662720 is 2726667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 163927 + ... + 164393.

Almost surely, 2^76662720 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 76662720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

76662720 is an abundant number, since it is smaller than the sum of its proper divisors (208630080).

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

76662720 is a wasteful number, since it uses less digits than its factorization.

76662720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76662720 is about 8755.7249842603. The cubic root of 76662720 is about 424.8100096591.

The spelling of 76662720 in words is "seventy-six million, six hundred sixty-two thousand, seven hundred twenty".