76998640 has 80 divisors (see below), whose sum is σ = 190166400. Its totient is φ = 28912896.

The previous prime is 76998619. The next prime is 76998673. The reversal of 76998640 is 4689967.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271939 + ... + 272221.

It is an arithmetic number, because the mean of its divisors is an integer number (2377080).

Almost surely, 2^76998640 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 76998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95083200).

76998640 is an abundant number, since it is smaller than the sum of its proper divisors (113167760).

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

76998640 is a wasteful number, since it uses less digits than its factorization.

76998640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 76998640 is about 8774.8868938579. The cubic root of 76998640 is about 425.4295817884.

The spelling of 76998640 in words is "seventy-six million, nine hundred ninety-eight thousand, six hundred forty".