76620096 has 168 divisors, whose sum is σ = 259510784. Its totient is φ = 21150720.

The previous prime is 76620091. The next prime is 76620119. The reversal of 76620096 is 69002667.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×76620096² = 11741278222098432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 76620096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76620091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124686 + ... + 125298.

Almost surely, 2^76620096 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 76620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129755392).

76620096 is an abundant number, since it is smaller than the sum of its proper divisors (182890688).

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

76620096 is a wasteful number, since it uses less digits than its factorization.

76620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 76620096 is about 8753.2905812614. The cubic root of 76620096 is about 424.7312644807.

The spelling of 76620096 in words is "seventy-six million, six hundred twenty thousand, ninety-six".