78279696 has 300 divisors, whose sum is σ = 276373680. Its totient is φ = 21150720.

The previous prime is 78279673. The next prime is 78279697. The reversal of 78279696 is 69697287.

78279696 = 285² + 286² + ... + 636².

It is a super-2 number, since 2×78279696² = 12255421611704832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2286144) is a multiple of the sum of its prime factors (84).

It is not an unprimeable number, because it can be changed into a prime (78279697) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4119975 + ... + 4119993.

Almost surely, 2^78279696 is an apocalyptic number.

78279696 is a gapful number since it is divisible by the number (76) 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 78279696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138186840).

78279696 is an abundant number, since it is smaller than the sum of its proper divisors (198093984).

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

78279696 is a wasteful number, since it uses less digits than its factorization.

78279696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 78279696 is about 8847.5813644182. The cubic root of 78279696 is about 427.7759621719.

The spelling of 78279696 in words is "seventy-eight million, two hundred seventy-nine thousand, six hundred ninety-six".