76988520 has 192 divisors, whose sum is σ = 289336320. Its totient is φ = 17390592.

The previous prime is 76988473. The next prime is 76988537. The reversal of 76988520 is 2588967.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345129 + ... + 345351.

It is an arithmetic number, because the mean of its divisors is an integer number (1506960).

Almost surely, 2^76988520 is an apocalyptic number.

76988520 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 76988520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

76988520 is an abundant number, since it is smaller than the sum of its proper divisors (212347800).

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

76988520 is a wasteful number, since it uses less digits than its factorization.

76988520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 76988520 is about 8774.3102293001. The cubic root of 76988520 is about 425.4109427752.

The spelling of 76988520 in words is "seventy-six million, nine hundred eighty-eight thousand, five hundred twenty".