78320970 has 192 divisors, whose sum is σ = 255999744. Its totient is φ = 16174080.

The previous prime is 78320959. The next prime is 78320981. The reversal of 78320970 is 7902387.

It is an interprime number because it is at equal distance from previous prime (78320959) and next prime (78320981).

It is a super-2 number, since 2×78320970² = 12268348683481800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597805 + ... + 597935.

It is an arithmetic number, because the mean of its divisors is an integer number (1333332).

Almost surely, 2^78320970 is an apocalyptic number.

78320970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78320970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127999872).

78320970 is an abundant number, since it is smaller than the sum of its proper divisors (177678774).

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

78320970 is a wasteful number, since it uses less digits than its factorization.

78320970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 78320970 is about 8849.9135588999. The cubic root of 78320970 is about 427.8511324640.

The spelling of 78320970 in words is "seventy-eight million, three hundred twenty thousand, nine hundred seventy".