78111792 has 90 divisors (see below), whose sum is σ = 240337916. Its totient is φ = 23664960.

The previous prime is 78111757. The next prime is 78111797. The reversal of 78111792 is 29711187.

It is a super-2 number, since 2×78111792² = 12202904098902528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78111797) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15183 + ... + 19665.

Almost surely, 2^78111792 is an apocalyptic number.

78111792 is a gapful number since it is divisible by the number (72) 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 78111792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120168958).

78111792 is an abundant number, since it is smaller than the sum of its proper divisors (162226124).

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

78111792 is a wasteful number, since it uses less digits than its factorization.

78111792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4499 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 78111792 is about 8838.0875759408. The cubic root of 78111792 is about 427.4698942583.

The spelling of 78111792 in words is "seventy-eight million, one hundred eleven thousand, seven hundred ninety-two".