78349920 has 288 divisors, whose sum is σ = 289578240. Its totient is φ = 17740800.

The previous prime is 78349903. The next prime is 78349933. The reversal of 78349920 is 2994387.

It is a super-2 number, since 2×78349920² = 12277419928012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103485 + ... + 1103555.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^78349920 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 78349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

78349920 is an abundant number, since it is smaller than the sum of its proper divisors (211228320).

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

78349920 is a wasteful number, since it uses less digits than its factorization.

78349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 78349920 is about 8851.5490169800. The cubic root of 78349920 is about 427.9038419086.

The spelling of 78349920 in words is "seventy-eight million, three hundred forty-nine thousand, nine hundred twenty".