78270920 has 64 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 24770304.

The previous prime is 78270917. The next prime is 78270943. The reversal of 78270920 is 2907287.

It is a super-2 number, since 2×78270920² = 12252673835292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 15 ways as a sum of consecutive naturals, for example, 7112 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^78270920 is an apocalyptic number.

78270920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78270920 is an abundant number, since it is smaller than the sum of its proper divisors (138489400).

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

78270920 is a wasteful number, since it uses less digits than its factorization.

78270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21534 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 78270920 is about 8847.0853957674. The cubic root of 78270920 is about 427.7599754715.

The spelling of 78270920 in words is "seventy-eight million, two hundred seventy thousand, nine hundred twenty".