78023088 has 200 divisors, whose sum is σ = 265930896. Its totient is φ = 21772800.

The previous prime is 78023069. The next prime is 78023089. The reversal of 78023088 is 88032087.

It is a super-2 number, since 2×78023088² = 12175204522111488, 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 (78023089) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 185118 + ... + 185538.

Almost surely, 2^78023088 is an apocalyptic number.

78023088 is a gapful number since it is divisible by the number (78) 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 78023088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132965448).

78023088 is an abundant number, since it is smaller than the sum of its proper divisors (187907808).

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

78023088 is a wasteful number, since it uses less digits than its factorization.

78023088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 78023088 is about 8833.0678702249. The cubic root of 78023088 is about 427.3080209100.

The spelling of 78023088 in words is "seventy-eight million, twenty-three thousand, eighty-eight".