76497280 has 128 divisors (see below), whose sum is σ = 198288000. Its totient is φ = 28114944.

The previous prime is 76497277. The next prime is 76497283. The reversal of 76497280 is 8279467.

It is an interprime number because it is at equal distance from previous prime (76497277) and next prime (76497283).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76497283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859476 + ... + 859564.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 2^76497280 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 76497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144000).

76497280 is an abundant number, since it is smaller than the sum of its proper divisors (121790720).

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

76497280 is a wasteful number, since it uses less digits than its factorization.

76497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 76497280 is about 8746.2723488352. The cubic root of 76497280 is about 424.5042061586.

The spelling of 76497280 in words is "seventy-six million, four hundred ninety-seven thousand, two hundred eighty".