78705900 has 324 divisors, whose sum is σ = 313740336. Its totient is φ = 16070400.

The previous prime is 78705889. The next prime is 78705929. The reversal of 78705900 is 950787.

78705900 = T₇₉ + T₈₀ + ... + T₇₇₈.

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 107 ways as a sum of consecutive naturals, for example, 2538885 + ... + 2538915.

Almost surely, 2^78705900 is an apocalyptic number.

78705900 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 78705900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156870168).

78705900 is an abundant number, since it is smaller than the sum of its proper divisors (235034436).

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

78705900 is a wasteful number, since it uses less digits than its factorization.

78705900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 78705900 is about 8871.6345731776. The cubic root of 78705900 is about 428.5509180660.

The spelling of 78705900 in words is "seventy-eight million, seven hundred five thousand, nine hundred".