78587496 has 160 divisors (see below), whose sum is σ = 250034400. Its totient is φ = 22861440.

The previous prime is 78587489. The next prime is 78587501. The reversal of 78587496 is 69478587.

78587496 is a `hidden beast` number, since 78 + 5 + 87 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159811 + ... + 160301.

It is an arithmetic number, because the mean of its divisors is an integer number (1562715).

Almost surely, 2^78587496 is an apocalyptic number.

78587496 is a gapful number since it is divisible by the number (76) 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 78587496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125017200).

78587496 is an abundant number, since it is smaller than the sum of its proper divisors (171446904).

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

78587496 is a wasteful number, since it uses less digits than its factorization.

78587496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 78587496 is about 8864.9588831534. The cubic root of 78587496 is about 428.3359083085.

The spelling of 78587496 in words is "seventy-eight million, five hundred eighty-seven thousand, four hundred ninety-six".