78575700 has 288 divisors, whose sum is σ = 287981568. Its totient is φ = 16128000.

The previous prime is 78575699. The next prime is 78575701. The reversal of 78575700 is 757587.

It is an interprime number because it is at equal distance from previous prime (78575699) and next prime (78575701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78575701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106665 + ... + 1106735.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2^78575700 is an apocalyptic number.

78575700 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 78575700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143990784).

78575700 is an abundant number, since it is smaller than the sum of its proper divisors (209405868).

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

78575700 is a wasteful number, since it uses less digits than its factorization.

78575700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 39.

The square root of 78575700 is about 8864.2935420709. The cubic root of 78575700 is about 428.3144761322.

The spelling of 78575700 in words is "seventy-eight million, five hundred seventy-five thousand, seven hundred".