78351000 has 384 divisors, whose sum is σ = 313709760. Its totient is φ = 16128000.

The previous prime is 78350983. The next prime is 78351017. The reversal of 78351000 is 15387.

It is an interprime number because it is at equal distance from previous prime (78350983) and next prime (78351017).

It is a super-2 number, since 2×78351000² = 12277758402000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 1910980 + ... + 1911020.

Almost surely, 2^78351000 is an apocalyptic number.

78351000 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 78351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

78351000 is an abundant number, since it is smaller than the sum of its proper divisors (235358760).

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

78351000 is a wasteful number, since it uses less digits than its factorization.

78351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 78351000 is about 8851.6100230410. The cubic root of 78351000 is about 427.9058080200.

Adding to 78351000 its reverse (15387), we get a palindrome (78366387).

The spelling of 78351000 in words is "seventy-eight million, three hundred fifty-one thousand".