78595020 has 288 divisors, whose sum is σ = 297024000. Its totient is φ = 16765056.

The previous prime is 78595019. The next prime is 78595037. The reversal of 78595020 is 2059587.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1173027 + ... + 1173093.

Almost surely, 2^78595020 is an apocalyptic number.

78595020 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 78595020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148512000).

78595020 is an abundant number, since it is smaller than the sum of its proper divisors (218428980).

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

78595020 is a wasteful number, since it uses less digits than its factorization.

78595020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 78595020 is about 8865.3832404471. The cubic root of 78595020 is about 428.3495775591.

The spelling of 78595020 in words is "seventy-eight million, five hundred ninety-five thousand, twenty".