76997424 has 120 divisors (see below), whose sum is σ = 243704640. Its totient is φ = 20829312.

The previous prime is 76997383. The next prime is 76997447. The reversal of 76997424 is 42479967.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43827 + ... + 45549.

It is an arithmetic number, because the mean of its divisors is an integer number (2030872).

Almost surely, 2^76997424 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 76997424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121852320).

76997424 is an abundant number, since it is smaller than the sum of its proper divisors (166707216).

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

76997424 is a wasteful number, since it uses less digits than its factorization.

76997424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1754 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 76997424 is about 8774.8176049420. The cubic root of 76997424 is about 425.4273422462.

It can be divided in two parts, 76997 and 424, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 76997424 in words is "seventy-six million, nine hundred ninety-seven thousand, four hundred twenty-four".