77742504 has 192 divisors, whose sum is σ = 259459200. Its totient is φ = 21337344.

The previous prime is 77742463. The next prime is 77742529. The reversal of 77742504 is 40524777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394534 + ... + 394730.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^77742504 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 77742504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

77742504 is an abundant number, since it is smaller than the sum of its proper divisors (181716696).

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

77742504 is a wasteful number, since it uses less digits than its factorization.

77742504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 77742504 is about 8817.1709748649. The cubic root of 77742504 is about 426.7951820979.

The spelling of 77742504 in words is "seventy-seven million, seven hundred forty-two thousand, five hundred four".