76101520 has 80 divisors (see below), whose sum is σ = 204415488. Its totient is φ = 26040320.

The previous prime is 76101463. The next prime is 76101521. The reversal of 76101520 is 2510167.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 76101491 and 76101500.

It is not an unprimeable number, because it can be changed into a prime (76101521) 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 15 ways as a sum of consecutive naturals, for example, 12417 + ... + 17503.

Almost surely, 2^76101520 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 76101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102207744).

76101520 is an abundant number, since it is smaller than the sum of its proper divisors (128313968).

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

76101520 is a wasteful number, since it uses less digits than its factorization.

76101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 76101520 is about 8723.6185152722. The cubic root of 76101520 is about 423.7708801272.

Adding to 76101520 its reverse (2510167), we get a palindrome (78611687).

The spelling of 76101520 in words is "seventy-six million, one hundred one thousand, five hundred twenty".