78419232 has 192 divisors, whose sum is σ = 255830400. Its totient is φ = 23224320.

The previous prime is 78419227. The next prime is 78419261. The reversal of 78419232 is 23291487.

78419232 is a `hidden beast` number, since 7 + 8 + 419 + 232 = 666.

It is a super-2 number, since 2×78419232² = 12299151894939648, which contains 22 as substring.

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

Its product of digits (24192) is a multiple of the sum of its prime factors (336).

It is a congruent number.

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, 278932 + ... + 279212.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 2^78419232 is an apocalyptic number.

78419232 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 78419232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127915200).

78419232 is an abundant number, since it is smaller than the sum of its proper divisors (177411168).

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

78419232 is a wasteful number, since it uses less digits than its factorization.

78419232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 78419232 is about 8855.4633983773. The cubic root of 78419232 is about 428.0299859621.

The spelling of 78419232 in words is "seventy-eight million, four hundred nineteen thousand, two hundred thirty-two".