76211520 has 224 divisors, whose sum is σ = 301971456. Its totient is φ = 15820800.

The previous prime is 76211503. The next prime is 76211521. The reversal of 76211520 is 2511267.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76211521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73405 + ... + 74435.

Almost surely, 2^76211520 is an apocalyptic number.

76211520 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 76211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150985728).

76211520 is an abundant number, since it is smaller than the sum of its proper divisors (225759936).

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

76211520 is a wasteful number, since it uses less digits than its factorization.

76211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 76211520 is about 8729.9209618415. The cubic root of 76211520 is about 423.9749599547.

Adding to 76211520 its reverse (2511267), we get a palindrome (78722787).

The spelling of 76211520 in words is "seventy-six million, two hundred eleven thousand, five hundred twenty".