78540000 has 480 divisors, whose sum is σ = 340091136. Its totient is φ = 15360000.

The previous prime is 78539959. The next prime is 78540031. The reversal of 78540000 is 4587.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4619992 + ... + 4620008.

Almost surely, 2^78540000 is an apocalyptic number.

78540000 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 78540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170045568).

78540000 is an abundant number, since it is smaller than the sum of its proper divisors (261551136).

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

78540000 is a wasteful number, since it uses less digits than its factorization.

78540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 78540000 is about 8862.2796164418. The cubic root of 78540000 is about 428.2495996580.

78540000 divided by its product of nonzero digits (1120) gives a triangular number (70125 = T₃₇₄).

Adding to 78540000 its reverse (4587), we get a palindrome (78544587).

The spelling of 78540000 in words is "seventy-eight million, five hundred forty thousand".