78201840 has 160 divisors (see below), whose sum is σ = 261697536. Its totient is φ = 19261440.

The previous prime is 78201833. The next prime is 78201841. The reversal of 78201840 is 4810287.

It is a super-2 number, since 2×78201840² = 12231055558771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 78201798 and 78201807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78201841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170892 + ... + 171348.

Almost surely, 2^78201840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130848768).

78201840 is an abundant number, since it is smaller than the sum of its proper divisors (183495696).

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

78201840 is a wasteful number, since it uses less digits than its factorization.

78201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 78201840 is about 8843.1804233545. The cubic root of 78201840 is about 427.6340949331.

The spelling of 78201840 in words is "seventy-eight million, two hundred one thousand, eight hundred forty".