76421520 has 240 divisors, whose sum is σ = 299445120. Its totient is φ = 17104896.

The previous prime is 76421507. The next prime is 76421531. The reversal of 76421520 is 2512467.

76421520 is a `hidden beast` number, since 7 + 642 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×76421520² = 11680497438220800, which contains 22 as substring.

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, 297232 + ... + 297488.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 2^76421520 is an apocalyptic number.

76421520 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 76421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149722560).

76421520 is an abundant number, since it is smaller than the sum of its proper divisors (223023600).

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

76421520 is a wasteful number, since it uses less digits than its factorization.

76421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 76421520 is about 8741.9402880596. The cubic root of 76421520 is about 424.3640222578.

Adding to 76421520 its reverse (2512467), we get a palindrome (78933987).

The spelling of 76421520 in words is "seventy-six million, four hundred twenty-one thousand, five hundred twenty".