80292520 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 24710400.

The previous prime is 80292493. The next prime is 80292523. The reversal of 80292520 is 2529208.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (80292523) 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 31 ways as a sum of consecutive naturals, for example, 403381 + ... + 403579.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^80292520 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 80292520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

80292520 is an abundant number, since it is smaller than the sum of its proper divisors (147803480).

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

80292520 is a wasteful number, since it uses less digits than its factorization.

80292520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 80292520 is about 8960.6093542794. The cubic root of 80292520 is about 431.4114785603.

The spelling of 80292520 in words is "eighty million, two hundred ninety-two thousand, five hundred twenty".