78302952 has 384 divisors, whose sum is σ = 298771200. Its totient is φ = 17915904.

The previous prime is 78302951. The next prime is 78302981. The reversal of 78302952 is 25920387.

It is a happy number.

It is a super-2 number, since 2×78302952² = 12262704583828608, 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 (78302951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2116278 + ... + 2116314.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^78302952 is an apocalyptic number.

78302952 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 78302952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

78302952 is an abundant number, since it is smaller than the sum of its proper divisors (220468248).

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

78302952 is a wasteful number, since it uses less digits than its factorization.

78302952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78302952 is about 8848.8955243013. The cubic root of 78302952 is about 427.8183204217.

The spelling of 78302952 in words is "seventy-eight million, three hundred two thousand, nine hundred fifty-two".