76258020 has 96 divisors (see below), whose sum is σ = 226759680. Its totient is φ = 19094400.

The previous prime is 76258009. The next prime is 76258027. The reversal of 76258020 is 2085267.

It is a super-2 number, since 2×76258020² = 11630571228640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (76258027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171919 + ... + 172361.

It is an arithmetic number, because the mean of its divisors is an integer number (2362080).

Almost surely, 2^76258020 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 76258020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113379840).

76258020 is an abundant number, since it is smaller than the sum of its proper divisors (150501660).

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

76258020 is a wasteful number, since it uses less digits than its factorization.

76258020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 76258020 is about 8732.5838100759. The cubic root of 76258020 is about 424.0611710130.

The spelling of 76258020 in words is "seventy-six million, two hundred fifty-eight thousand, twenty".