78296400 has 360 divisors, whose sum is σ = 335811840. Its totient is φ = 16450560.

The previous prime is 78296399. The next prime is 78296411. The reversal of 78296400 is 469287.

78296400 is a `hidden beast` number, since 7 + 8 + 2 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×78296400² = 12260652505920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327481 + ... + 327719.

Almost surely, 2^78296400 is an apocalyptic number.

78296400 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 78296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

78296400 is an abundant number, since it is smaller than the sum of its proper divisors (257515440).

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

78296400 is a wasteful number, since it uses less digits than its factorization.

78296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

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

The square root of 78296400 is about 8848.5253008623. The cubic root of 78296400 is about 427.8063875220.

The spelling of 78296400 in words is "seventy-eight million, two hundred ninety-six thousand, four hundred".