78200640 has 280 divisors, whose sum is σ = 318650112. Its totient is φ = 17832960.

The previous prime is 78200627. The next prime is 78200641. The reversal of 78200640 is 4600287.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×78200640² = 12230680192819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78200641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181225 + ... + 181655.

Almost surely, 2^78200640 is an apocalyptic number.

78200640 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 78200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159325056).

78200640 is an abundant number, since it is smaller than the sum of its proper divisors (240449472).

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

78200640 is a wasteful number, since it uses less digits than its factorization.

78200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78200640 is about 8843.1125742015. The cubic root of 78200640 is about 427.6319075868.

The spelling of 78200640 in words is "seventy-eight million, two hundred thousand, six hundred forty".