78332940 has 384 divisors, whose sum is σ = 313528320. Its totient is φ = 15814656.

The previous prime is 78332927. The next prime is 78332941. The reversal of 78332940 is 4923387.

78332940 = T₃₁₉ + T₃₂₀ + ... + T₇₉₄.

It is a super-2 number, since 2×78332940² = 12272098978087200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78332895 and 78332904.

It is not an unprimeable number, because it can be changed into a prime (78332941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1477954 + ... + 1478006.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^78332940 is an apocalyptic number.

78332940 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 78332940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

78332940 is an abundant number, since it is smaller than the sum of its proper divisors (235195380).

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

78332940 is a wasteful number, since it uses less digits than its factorization.

78332940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 78332940 is about 8850.5898108544. The cubic root of 78332940 is about 427.8729278920.

The spelling of 78332940 in words is "seventy-eight million, three hundred thirty-two thousand, nine hundred forty".