78597540 has 240 divisors, whose sum is σ = 292723200. Its totient is φ = 17273088.

The previous prime is 78597529. The next prime is 78597551. The reversal of 78597540 is 4579587.

78597540 is a `hidden beast` number, since 7 + 8 + 597 + 54 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78597529) and next prime (78597551).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 328741 + ... + 328979.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^78597540 is an apocalyptic number.

78597540 is a gapful number since it is divisible by the number (70) 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 78597540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146361600).

78597540 is an abundant number, since it is smaller than the sum of its proper divisors (214125660).

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

78597540 is a wasteful number, since it uses less digits than its factorization.

78597540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 78597540 is about 8865.5253651433. The cubic root of 78597540 is about 428.3541555819.

The spelling of 78597540 in words is "seventy-eight million, five hundred ninety-seven thousand, five hundred forty".