80761472 has 64 divisors (see below), whose sum is σ = 179928000. Its totient is φ = 35788800.

The previous prime is 80761451. The next prime is 80761493. The reversal of 80761472 is 27416708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80761451) and next prime (80761493).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57029 + ... + 58427.

It is an arithmetic number, because the mean of its divisors is an integer number (2811375).

Almost surely, 2^80761472 is an apocalyptic number.

80761472 is a gapful number since it is divisible by the number (82) 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 80761472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964000).

80761472 is an abundant number, since it is smaller than the sum of its proper divisors (99166528).

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

80761472 is a wasteful number, since it uses less digits than its factorization.

80761472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 80761472 is about 8986.7386742911. The cubic root of 80761472 is about 432.2497412837.

The spelling of 80761472 in words is "eighty million, seven hundred sixty-one thousand, four hundred seventy-two".