78298920 has 128 divisors (see below), whose sum is σ = 298310400. Its totient is φ = 17895168.

The previous prime is 78298903. The next prime is 78298933. The reversal of 78298920 is 2989287.

It is a super-2 number, since 2×78298920² = 12261441746332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382 + ... + 12738.

It is an arithmetic number, because the mean of its divisors is an integer number (2330550).

Almost surely, 2^78298920 is an apocalyptic number.

78298920 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 78298920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149155200).

78298920 is an abundant number, since it is smaller than the sum of its proper divisors (220011480).

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

78298920 is a wasteful number, since it uses less digits than its factorization.

78298920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 78298920 is about 8848.6676963258. The cubic root of 78298920 is about 427.8109771776.

The spelling of 78298920 in words is "seventy-eight million, two hundred ninety-eight thousand, nine hundred twenty".